{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 机器学习练习-聚类\n",
    "代码更新地址：https://github.com/fengdu78/WZU-machine-learning-course\n",
    "\n",
    "代码修改并注释：黄海广，haiguang2000@wzu.edu.cn "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在本练习中，我们将实现K-means聚类，并使用它来压缩图像。 我们将从一个简单的2D数据集开始，以了解K-means是如何工作的，然后我们将其应用于图像压缩。 我们还将对主成分分析进行实验，并了解如何使用它来找到面部图像的低维表示。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-means 聚类"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们将实施和应用K-means到一个简单的二维数据集，以获得一些直观的工作原理。 K-means是一个迭代的，无监督的聚类算法，将类似的实例组合成簇。 该算法通过猜测每个簇的初始聚类中心开始，然后重复将实例分配给最近的簇，并重新计算该簇的聚类中心。 我们要实现的第一部分是找到数据中每个实例最接近的聚类中心的函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "from scipy.io import loadmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_closest_centroids(X, centroids):\n",
    "    # 获取样本数量m和聚类中心数量k\n",
    "    m = X.shape[0]\n",
    "    k = centroids.shape[0]\n",
    "    # 初始化每个样本的聚类索引\n",
    "    idx = np.zeros(m)\n",
    "    # 遍历每个样本\n",
    "    for i in range(m):\n",
    "        # 初始化最小距离\n",
    "        min_dist = 1000000\n",
    "        # 遍历每个聚类中心\n",
    "        for j in range(k):\n",
    "            # 计算样本与聚类中心的距离\n",
    "            dist = np.sum((X[i, :] - centroids[j, :])**2)\n",
    "            # 如果距离小于最小距离，则更新最小距离和聚类索引\n",
    "            if dist < min_dist:\n",
    "                min_dist = dist\n",
    "                idx[i] = j\n",
    "    return idx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "让我们来测试这个函数，以确保它的工作正常。 我们将使用练习中提供的测试用例。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>X1</th>\n",
       "      <th>X2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.842080</td>\n",
       "      <td>4.607572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5.658583</td>\n",
       "      <td>4.799964</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>6.352579</td>\n",
       "      <td>3.290854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.904017</td>\n",
       "      <td>4.612204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3.231979</td>\n",
       "      <td>4.939894</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         X1        X2\n",
       "0  1.842080  4.607572\n",
       "1  5.658583  4.799964\n",
       "2  6.352579  3.290854\n",
       "3  2.904017  4.612204\n",
       "4  3.231979  4.939894"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data2 = pd.read_csv('data/ex7data2.csv')\n",
    "data2.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=data2.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 2., 1.])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "initial_centroids = initial_centroids = np.array([[3, 3], [6, 2], [8, 5]])\n",
    "\n",
    "idx = find_closest_centroids(X, initial_centroids)\n",
    "idx[0:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "输出与文本中的预期值匹配（记住我们的数组是从零开始索引的，而不是从一开始索引的，所以值比练习中的值低一个）。 接下来，我们需要一个函数来计算簇的聚类中心。 聚类中心只是当前分配给簇的所有样本的平均值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sb.set(context=\"notebook\", style=\"white\")\n",
    "sb.lmplot(x='X1', y='X2', data=data2, fit_reg=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_centroids(X, idx, k):\n",
    "    # 获取样本数量m和特征数量n\n",
    "    m, n = X.shape\n",
    "    # 初始化聚类中心\n",
    "    centroids = np.zeros((k, n))\n",
    "    for i in range(k):\n",
    "        # 找到属于第i个聚类的样本的索引\n",
    "        indices = np.where(idx == i)\n",
    "        # 计算该聚类的新聚类中心（取属于该聚类的样本的平均值）\n",
    "        centroids[i, :] = (np.sum(X[indices, :], axis=1) /\n",
    "                           len(indices[0])).ravel()\n",
    "    return centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2.42830111, 3.15792418],\n",
       "       [5.81350331, 2.63365645],\n",
       "       [7.11938687, 3.6166844 ]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_centroids(data2.values, idx, 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此输出也符合练习中的预期值。 \n",
    "下一部分涉及实际运行该算法的一些迭代次数和可视化结果。 \n",
    "这个步骤是由于并不复杂，我将从头开始构建它。 为了运行算法，我们只需要在将样本分配给最近的簇并重新计算簇的聚类中心。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run_k_means(X, initial_centroids, max_iters):\n",
    "    # 获取样本数量m和特征数量n\n",
    "    m, n = X.shape\n",
    "    # 获取聚类中心数量k\n",
    "    k = initial_centroids.shape[0]\n",
    "    # 初始化每个样本的聚类索引\n",
    "    idx = np.zeros(m)\n",
    "    # 初始化聚类中心\n",
    "    centroids = initial_centroids\n",
    "\n",
    "    for i in range(max_iters):\n",
    "        # 找到每个样本点与最近的聚类中心的索引\n",
    "        idx = find_closest_centroids(X, centroids)\n",
    "        # 根据样本点的聚类索引重新计算聚类中心\n",
    "        centroids = compute_centroids(X, idx, k)\n",
    "\n",
    "    return idx, centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "idx, centroids = run_k_means(X, initial_centroids, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster1 = X[np.where(idx == 0)[0],:]\n",
    "cluster2 = X[np.where(idx == 1)[0],:]\n",
    "cluster3 = X[np.where(idx == 2)[0],:]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(15,10))\n",
    "ax.scatter(cluster1[:,0], cluster1[:,1], s=30, color='r', label='Cluster 1')\n",
    "ax.scatter(cluster2[:,0], cluster2[:,1], s=30, color='g', label='Cluster 2')\n",
    "ax.scatter(cluster3[:,0], cluster3[:,1], s=30, color='b', label='Cluster 3')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们跳过的一个步骤是初始化聚类中心的过程。 这可以影响算法的收敛。 我们的任务是创建一个选择随机样本并将其用作初始聚类中心的函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_centroids(X, k):\n",
    "    m, n = X.shape\n",
    "    centroids = np.zeros((k, n))\n",
    "    idx = np.random.randint(0, m, k)\n",
    "\n",
    "    for i in range(k):\n",
    "        centroids[i, :] = X[idx[i], :]\n",
    "\n",
    "    return centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.52334113, 4.87916159],\n",
       "       [3.06192918, 1.5719211 ],\n",
       "       [1.75164337, 0.68853536]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "init_centroids(X, 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## k值的选择\n",
    "使用“肘部法则”选取k值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "# '利用SSE选择k'\n",
    "SSE = []  # 存放每次结果的误差平方和\n",
    "for k in range(1, 9):\n",
    "    estimator = KMeans(n_clusters=k)  # 构造聚类器\n",
    "    estimator.fit(data2)\n",
    "    SSE.append(estimator.inertia_)\n",
    "X = range(1, 9)\n",
    "\n",
    "plt.figure(figsize=(15, 10))\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('SSE')\n",
    "plt.plot(X, SSE, 'o-')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "图中可以看出，k=3的时候是肘点，所以，选择k=3."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-means图像压缩"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们的下一个任务是将K-means应用于图像压缩。 从下面的演示可以看到，我们可以使用聚类来找到最具代表性的少数颜色，并使用聚类分配将原始的24位颜色映射到较低维的颜色空间。 \n",
    "\n",
    "下面是我们要压缩的图像。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='data/bird_small.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The raw pixel data has been pre-loaded for us so let's pull it in."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "image_data = loadmat('data/bird_small.mat')\n",
    "# image_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(128, 128, 3)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = image_data['A']\n",
    "A.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现在我们需要对数据应用一些预处理，并将其提供给K-means算法。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(16384, 3)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 归一化数值范围\n",
    "A = A / 255.\n",
    "# 重塑数组形状\n",
    "X = np.reshape(A, (A.shape[0] * A.shape[1], A.shape[2]))\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(16384, 3)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 随机初始化聚类中心\n",
    "initial_centroids = init_centroids(X, 16)\n",
    "# 运行K-means算法\n",
    "idx, centroids = run_k_means(X, initial_centroids, 10)\n",
    "# 最后一次获取最近的聚类中心\n",
    "idx = find_closest_centroids(X, centroids)\n",
    "# 将每个像素映射到聚类中心的值\n",
    "X_recovered = centroids[idx.astype(int),:]\n",
    "X_recovered.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(128, 128, 3)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 重塑原始维度\n",
    "X_recovered = np.reshape(X_recovered, (A.shape[0], A.shape[1], A.shape[2]))\n",
    "X_recovered.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(X_recovered)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "您可以看到我们对图像进行了压缩，但图像的主要特征仍然存在。 这就是K-means。 下面我们来用scikit-learn来实现K-means。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from skimage import io\n",
    "\n",
    "# 将图像转换为浮点数，否则聚类后的颜色会变得奇怪\n",
    "pic = io.imread('data/bird_small.png') / 255.\n",
    "io.imshow(pic)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(128, 128, 3)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pic.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# serialize data\n",
    "data = pic.reshape(128*128, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(16384, 3)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans#导入kmeans库\n",
    "\n",
    "model = KMeans(n_clusters=16, n_init=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=16, n_init=100)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(16, 3)\n",
      "(16384,)\n"
     ]
    }
   ],
   "source": [
    "centroids = model.cluster_centers_\n",
    "print(centroids.shape)\n",
    "\n",
    "C = model.predict(data)\n",
    "print(C.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(16384, 3)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centroids[C].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "compressed_pic = centroids[C].reshape((128,128,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2)\n",
    "ax[0].imshow(pic)\n",
    "ax[1].imshow(compressed_pic)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 密度聚类"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DBSCAN(Density-Based Spatial Clustering of Applications with Noise)是一个比较有代表性的基于密度的聚类算法。与划分和层次聚类方法不同，它将簇定义为密度相连的点的最大集合，能够把具有足够高密度的区域划分为簇，并可在噪声的空间数据库中发现任意形状的聚类。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.cluster import DBSCAN\n",
    "from sklearn import metrics\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "创建样本数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "centers = [[1, 1], [-1, -1], [1, -1]]\n",
    "X, labels_true = make_blobs(\n",
    "    n_samples=750, centers=centers, cluster_std=0.4, random_state=0\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "标准化数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = StandardScaler().fit_transform(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在DBSCAN使用两个超参数：\n",
    "\n",
    "扫描半径 (eps)和最小包含点数(minPts)来获得簇的数量，而不是猜测簇的数目。\n",
    "- (1)扫描半径 (eps) : \n",
    "用于定位点/检查任何点附近密度的距离度量，即扫描半径。\n",
    "- (2)最小包含点数(minPts) ：\n",
    "聚集在一起的最小点数(阈值)，该区域被认为是稠密的。\n",
    "\n",
    "我们定义一个`plot_dbscan(MyEps, MiniSample)`函数，`MyEps`代表`eps`，`MiniSample`代表`minPts`。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_dbscan(MyEps, MiniSample):\n",
    "    db = DBSCAN(eps=MyEps, min_samples=MiniSample).fit(X)\n",
    "    core_samples_mask = np.zeros_like(db.labels_, dtype=bool)\n",
    "    core_samples_mask[db.core_sample_indices_] = True\n",
    "    labels = db.labels_\n",
    "\n",
    "    # 标签中的簇数，忽略噪声点（如果存在）。\n",
    "    n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n",
    "    n_noise_ = list(labels).count(-1)\n",
    "\n",
    "    print(\"估计的簇的数量: %d\" % n_clusters_)\n",
    "    print(\"估计的噪声点数量: %d\" % n_noise_)\n",
    "    print(\"同一性(Homogeneity): %0.4f\" %\n",
    "          metrics.homogeneity_score(labels_true, labels))\n",
    "    print(\"完整性(Completeness): %0.4f\" %\n",
    "          metrics.completeness_score(labels_true, labels))\n",
    "    print(\"V-measure: %0.3f\" % metrics.v_measure_score(labels_true, labels))\n",
    "    print(\"ARI(Adjusted Rand Index): %0.4f\" %\n",
    "          metrics.adjusted_rand_score(labels_true, labels))\n",
    "    print(\"AMI(Adjusted Mutual Information): %0.4f\" %\n",
    "          metrics.adjusted_mutual_info_score(labels_true, labels))\n",
    "    print(\"轮廓系数(Silhouette Coefficient): %0.4f\" %\n",
    "          metrics.silhouette_score(X, labels))\n",
    "\n",
    "    # #############################################################################\n",
    "    # 画出结果\n",
    "\n",
    "    # 黑色点代表噪声点\n",
    "    unique_labels = set(labels)\n",
    "    colors = [\n",
    "        plt.cm.Spectral(each) for each in np.linspace(0, 1, len(unique_labels))\n",
    "    ]\n",
    "    for k, col in zip(unique_labels, colors):\n",
    "        if k == -1:\n",
    "            # Black used for noise.\n",
    "            col = [0, 0, 1, 1]\n",
    "\n",
    "        class_member_mask = labels == k\n",
    "\n",
    "        xy = X[class_member_mask & core_samples_mask]\n",
    "        plt.plot(\n",
    "            xy[:, 0],\n",
    "            xy[:, 1],\n",
    "            \"o\",\n",
    "            markerfacecolor=tuple(col),\n",
    "            markeredgecolor=\"k\",\n",
    "            markersize=14,\n",
    "        )\n",
    "\n",
    "        xy = X[class_member_mask & ~core_samples_mask]\n",
    "        plt.plot(\n",
    "            xy[:, 0],\n",
    "            xy[:, 1],\n",
    "            \"o\",\n",
    "            markerfacecolor=tuple(col),\n",
    "            markeredgecolor=\"k\",\n",
    "            markersize=6,\n",
    "        )\n",
    "\n",
    "    plt.title(\"簇的数量为: %d\" % n_clusters_, fontsize=18)\n",
    "\n",
    "#     plt.savefig(str(MyEps) + str(MiniSample) + '.png')#保存图片\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "估计的簇的数量: 3\n",
      "估计的噪声点数量: 18\n",
      "同一性(Homogeneity): 0.9530\n",
      "完整性(Completeness): 0.8832\n",
      "V-measure: 0.917\n",
      "ARI(Adjusted Rand Index): 0.9517\n",
      "AMI(Adjusted Mutual Information): 0.9165\n",
      "轮廓系数(Silhouette Coefficient): 0.6255\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dbscan(0.3, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "估计的簇的数量: 12\n",
      "估计的噪声点数量: 516\n",
      "同一性(Homogeneity): 0.3128\n",
      "完整性(Completeness): 0.2489\n",
      "V-measure: 0.277\n",
      "ARI(Adjusted Rand Index): 0.0237\n",
      "AMI(Adjusted Mutual Information): 0.2673\n",
      "轮廓系数(Silhouette Coefficient): -0.3659\n"
     ]
    },
    {
     "data": {
      "image/png": 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q6mqqrq4Wve7FixdTRkaG6Hc6nY6uXbsm/L1lyxZKTEyk/v3708GDB0X3OXv2LGVkZNATTzxBI0aMoOjoaNq/f7/otgxGU5AREbV2p8Nov+zYsQM333wzgoKCkJubi8rKSowaNQoKhQKTJk3CpEmTcO+991rsU1NTg//7v//DhQsXhKBqeXk5/vzzTyQlJQnZOzqdDiUlJejatatgzV67dg0LFy5EREQEBg0ahOTkZItj79y5Ezk5Objnnntw3333Wfj3N23ahO+//x5Lly5FfHy88PmFCxfw5JNPYtasWUL54oyMDHzzzTeQy+U2ufImF5BpdrAJvV6P6upqDBkyBK+88goA4PTp01i6dCmys7Mtcv2tSU9Px6VLlxAZGYl77rmHTXJiNAtM8BnNBtXPvmUwGG0DtuIVo9lgYs9gtC2Y4DMYDEYHoc1m6Vy7dg3//e9/ERwcLFpvhMFgMBi26PV6FBcXIz4+Xig7bqLNCv5///tfyXVLGQwGg2GfLVu22CQ1tFnBN5WG3bJlS6sXkWIwGIz2wvnz5zFp0iTR8tptVvBNbhyVSiVZyZDBYDAY4oi5wlnQlsFgMDoITPAZDAajg8AEn8FgMDoITPAZDAajg8AEn8HoQOTl7UBKyjBoNKFISRmGvLwdrd0kRgvSZrN0GAyGa8nL24GMjNUoLFwDna4fiovzkZGxAAAwdmx66zaO0SIwC5/B6CBkZ6+vF/uBADyh0w1EYeEaZGevb+2mMVoIJvgMRgehqOgodLp+Fp/pdP1QVHTUZtvWdv209vlvVJhLh8HoIKjVUSguzq+38I14eeVDrY6y2K61XT+tff4bGWbhMxgdhMzMOeC4BfDy2gugFl5ee8FxC5CZOcdiu9Z2/bT2+W9kmOAzGE2kvbgfxo5Nx9q1i5GQsBw83wMJCcuxdu1iG6vZGddPc9Da57+RYYLPYDQBk/vh0KEsFBScwKFDWcjIWN2mRX///j04d+4s9u/fI+oiUauj4OWVb/GZmOtHDFd0fk05P6MBWnVFXTucPXvWZlFrBqOtkZw8lLy8fiSAhH9eXj9ScvJQi+1yc7dTcvJQ4nkNJScPpdzc7a3TYAfIzd1O3bv3r78uHXl5/Ujdu/dvsM2N3a+5jtNRsaedTPAZjCbA8xoCdBaCD+iI5zXCNk0VMEc6C0c7FFdvZ46jnZ8jtKcOsq3BBJ/BaCYcEbmmCKEjnYWjHYr5dnL5NlIq00it5kmrTXWJoDrS+bUEHb2zYILPYDQTjohtU4TQlR2KaTu5fDspla53mbjSwm8szB3UDIJfUVFBjz76KE2bNo3Gjh1Lf/zxh+S2mzZtovT0dHrwwQepuLjYJY1mMNoSDVmUTRFCRzoLRzsU03bBwY1rT0PX2RbEti10Oq2NywX/gw8+oF27dhER0bfffkuPP/646HYHDx6k8ePHU11dHe3bt4+WLVvmkkYzGO2Jpghhc1j4arVzI47c3O2k1SZTSEiiQ26j1nSnSHV+HNeybqXWpFldOh999BE9/fTTot+tX7+e3n//fSIiMhgMNHr0aIePywSfcSPhrBCatuc4DanVsaRQrHLah79kyVKLcy5ZspS6d+9PSmWaw1aw6djO7NOaSHV+anVsh3HrNJvgX758mW677TYqKCgQ/T47O5u++eYb4e9hw4Y5fGwm+IyOipiAq1RJxHG8w1k6JnEX6wQctdaJGj8qaC1yc7eTSpVkcW1KZX9SKFa1uc6puWgWwdfpdDR16lQLQbdmw4YN9Omnnwp/9+vXz+HjM8FndFRc4YfWalPtHsPREUdT/f6tAcfxFBw8hNRqDQUHDyW5fHub7JyaC3va2aiZtnq9HhkZGRg+fDiGDx8uuV1SUhJ+/vlnAMCpU6cQGBjYuNlhDEYHoqmlBfLydqC09JzoMQoLjcdwZMYtcH3Wa2XlHAQENFyHpy3AcdEoL1+JoqKzKC7eg+rqdLszddtLaQxX0Khqmbm5ufj+++9RXFyMXbt2geM4REZGIikpCQMGDBC2GzBgAHJycrBy5UocPHgQ999/v8sazmDcqDha1VKK7Oz1IPKDl5ftMWQyP6fakpk5BxkZC1BYuAYVFRkICFgEd/fTCAzUYMyYEcjOXo85c2ZDrY5CZuacNlHNMjNzDubNm4GaGgXc3c9Ar+8Gb+9KZGY+Y7Nth6vM2dzDi5qaGvriiy/owIEDTu3HXDqMjkpT0xt5XkMqFW+Ta69U9ieO4xvVHmv3T1tIwbTX3tDQFIu2hYam2I1RtAdXlaOwiVcMRjujKemNyclDSalMI4ViFQUHDxV82a4MXEoJJc9rW32GqzMi3tAchtZOM20MTPAZjA6E0cJNIKXSMSu3MUgJpSmbpyGLv7Fpqo5s78zMZnudQ1sexdiDCT6DcQPhaDE1rTaZVKoo4jjxejlNHUWICWVw8FCHc/sdFVJnt3fGwrd37Pbq7mGCz2DcILSVEsRi+yuV/etTIBtvVYshtb1KFeWSEg9SHV9bKQbnLEzwGYwbBDHxUyhWOe07d0R0HamdY/qe57X1s4Eb7zc3TSxzVHjVak2zlnhgFn4LwgSfwbCF4yzFr7GVLx0JVhrjAGmkVmtIqUyj0NAEl7hdpDot6xmyDblWlMrUZhVh5sNvQZjgMxiW5OZuJ7U61kL8GjsDtiHrVatNtgn6KpUppNUm222fo4uriNXlVyrTLFxC5sFT6zRLpTKFlMqEZp9Fy7J0Wggm+IyOjrXYaLWppFCssrDoG1vjpiHrVaWKkvSb22ujMzEAsZo+lnGA69dh7IDSLMolmILEzlj4rhLwttwRMMFnMNoZ1oJsdHlE1btXkkmpTCW1WkMhIT3tphU66oO3/l6t5iX85rxkGx1xeVj7/e1l+pgLuT0/vqNulsYUpXP0OG3J1cMEn8FoZ1iuTpVq5vLYZmEJS/m+paplOiqMKlW0VfExWwvf2aCmtVBKjU7EgrH2JnpZl4qW6sSkU0mHOHV/2nowlwk+g9HGsRYqjuPr/du2qY9+fksFv7daHUvjxk20EbnGiJLRzSLeuRhdSX0tfPjOpi1at8k0+9d6NrBYuqUjVnVD29ifLObaVchaEyb4DEYbRsrVoFRqbfzWCsUqCgkRz2Yxx1lRspdXb2xPT5ssHWc7Fes2+fkttbmWkJAkWrJkqWQb7bmoGmpPw5PFXLfOcGvCBJ/BaMNIpSmGhCTYCLBS2c8hsXHV5CajGBpz5B2d4GS90paYW0Yu304hIeI+/MYKp2OpprbZPuYuK0fO3Z59+I2qh89g3Gi0Zk10sfr3cvmXKC19tb68sSd0uoEoK1sDd/cCu3XuTWRmzgHHWdavDwyciaqqCtFrk6rB7+FxFF5e+fDyCkLmk4sQGhqKmNho3D9lMv73v8MICLyGoKBp4LhwREZmYMKE4di69VscOpSFgoITOHQoCzNmrEBcXApGjEgDxy2AQrEavr6r4eZ2xeG6/478Pqba/ebYlpWuQUDAIqjVPRAQsAhANYA6p+r7jx2bjrVrFyMhYTl4vgcSEpZj7drF7aOccit0QA7BLHxGc2NyETiybmxznVtqlqpUQFMqXZLntaLnEPPJh4YmkFab6pDPX6lMI5U6kSY9nk6fHN5I35x+m5ZvmEEx2kjqGR9NOTuX0+7Tb1POzuUU0zOaOC5W8jgm69+UnSM1h0CrTbUYITgagG7I8na2REN7hbl0GAwrGqoF05w+WbFzh4QkWXQ41hOsrotTeIN17u11JsasnxQbURQT1ZCQBAoLj6Wst+bRdwWb6buCzfTcO/MpMTmOkvrFU87O5cLnK9+aT5rQPg1m3pjaBehEZwmHhqZQaKilK0vqXkgVQ9NqU4njeFKpokirTW73tXGcxZ52NmrFKxO1tbWYMWMGpk+fjtTUVMntbr/9dnTp0gUAkJKSgjlz2t6yaIyORXb2+vpVjowrQplcJv7+y1Fdne7UkoKuOHdpaQ6Cgx+Bv38O1OoojBhxN7ZuXSCsxOTllY+AgPkwGIJQVZUOf//l8PA4irq6KFRVpSM29isAtis4GfdbAL0+BtXV6VAo1qOq6m6L/S9dSsc333yFtWsXIzt7OYqKjkImU+Cm0dF4ZPlYAIDBYMB/fj6Gd7J3wDewMy4WlOC9Fz9F+oNDkXZrIrZu/BEXL6yHv/9y0ZW26uqihHtqWtGrujodAIS2AJ1RV1uLyyV/t7g3QKVTSz5WVclw6dI/oNP1Q0nJ9RWsmrqS2A1BY3uR2tpamj59Ot1xxx30888/S25XVFREjz76qNPHZxY+ozlxVYqeI5hb3CYXi+nccvl2IS1RpYqSzCnXalNJq02ut1yls3QaykRxZCWsb775hvoOSKQ9596l7wo204f71lDywERKTNbauHESk+PouXfmE2fHajfP9pGqM69WJdKUiATiRCZ8mfLkxVw/1tyI9e2dpVlcOrW1tVRUVESLFy+2K/iffPIJDRkyhCZMmEDjx4+nQ4cONbnRDEZTcdUknIYwiYwx33xIvbDHkEKxqtGFz6zTE82zYjhOaoaspj4GID4zV6WKJo7jKKx7N4rr1ZOmPXE3rftoCaUMTKIekeHE8zxFxUZYuHG+K9hMOTuXU8qgJIrR9rbIwBGbLGZ+bZlLMknDx5JazROviqIHIxJpf987KYGPk8hYSrLqRMTr+jTktjHFENRqnnheK6SAtuVSCc7SrD78hgT/jz/+oGPHjhERUX5+Pk2ePNmh4zLBZzQnrppm3xBi9W+M/vFEUir7NCktUSwoq1SmSQh6DHEcL1kygeN40ibEkDYhhh7MuIciY3pQz17R1LPXdYue1/C0+/TbFoK/+/TbxPEcRcZEkEqVaHU/I4njYgVxNU0Q4zgN8epomhPVl17omUZ9QsOJ5ziK5kNpYGgEqazq64SEJJCf3xKLCVpy+TbRVNHGWPhNmZXcFmlVwa+urhb+v6KiggYMGODQcZngM5qb5rbqjNUteUmXhJT48rzGoTo4YkFn4yxc26AsxxnFOr53imhb4nunUM7O5ZTQV0vhPcJo7rMPUFKKZWC236AkUQs/MTmOvivYTI8tnUQcF00cx1NkTJxFYTSjlW4p5BpVEsXy3ejt+CH0U5/R9Hb8ENJqulF6dy314uOIq7f+1apwu5k/js62tVeeoS1PpHKWVs3Df+aZZ7B3714AwJdffon4+PjmPiWD4RBjx6Zj//49OHfuLPbv32M3j7oxefrZ2euh14fBw+OYaNCRyEc0b9zfn0dGxmqLXPaMjNUW57QM/F7P0/f23oeKikUICpom5IhPmDAUPgpvHPntFCbMHASVep5Ffr5KPQ8TZg5CTFJ3XL5QjslP3IF9Xx1CcWEJYpK6C+f824ND8WZWHg4fOI66Oj0OHziOV5d9hEtFZVg8/mVw3btCJruKPjfFoJPcB6WlG4X2yeVfWfyt0w3ExZIcgDojwdsXHjIZErx9kRHQA+cN1/COqgd2cn3wbFce/u4GBAXOtGhzQMACVFQsRGHhGmRnr7f4TaVy5KXmGhgM5U4FhdszLhX81157DT/99JPFZ7NmzcKGDRtw55134ssvv8TTTz/tylMyGM2OKfPFngCbb2vqGM6dO4dr124GkUJU2A0GHwQGzrIQMo5bAEBvI+bWwmZvopRer4ZGoxE6sj3f7cYt4/rjzaw8BAQr8NDSgQiPnA21OhxhPWbikeU3YeBtiTjy2ynw3YMxND0Fnl4e8JYbOwkTabcmIm1UItYt+ABT05bj5YVbMPhvfbF537N4YOGd2PbabgR0VeDP306h5GKRRfs8PMTbe4WuWHym9VLgXN01i78rqRYyt2IEBU2DWt0D/v7LUVGxWDKbyrojB4CUlGHQ6+Wiv4Obm78DE7ZuDJqUlgkAq1atEv7/8ccft/me53ls3bq1qadhMFoNsTTKwsI1WL58HrKz1wuphiNGpGHr1m9tUilranojMHAWSktzhM8DA2eiSxdPjBlzK775ZrlwjMzMxZgzZ3aDFqdUiqFe361+xuhi4fOCc0V47uHHoekRgr+/+CkKThWD6x6MynLC3NVjEJPUHR+99jV2b/sZ1ZU1WDLhFUQldEPByYt4MysPDy8fi5ik7jjy2yns+/J3jBw/AF//4yfMe3ES4pIjAABxyRF49Om78cazuaiqrARBYZGeWVcXJZqu6Sfzs7jOP3SV0Hh0svhb6e6NK4ZayOGFI8XvOpVWaZ6m6u5ehICA+SgrWyf8Dhy3ABMm3GWTAmt9D28Umiz4DMaNjpg17e5ehMuXa3HsWBZ0un4oLs7HuXOzUFk5wSq3fx0CAhbhypWlCAhYBHf30wgM1CArawUAWHQYmZlzMHZsOrKz14uKub8/j5SUYSgqOgp/fxVCQubjwoV1cHcvgq/vOri7n4ZM5osJE+62cE918vHCkd9OGS30WxMBAIcPHMebWXnGDuBkMfyCOmPeC5MEYd+04mMYDIQxUwbjlcUfoqryGvjuwRg3YyTSbk3EJ5v/aeHuAYCYpO64VFQOg6ErKisnIiBgAcrKjCJaXX2rTacXFDgTtajEoZoKaL0U+ENXibVlJ3CLvCvqiPCHrhLry06hiurgARlSO3miOHAmSko3OizM1p014IGAgEXw8DgNjotGZqbR3ZOSkizMQTB1vO2iVIKTMMFnMBpAzJr29V1n5pM2intJSQ78/ZehsvK6ABndLKcRFDS/XkhyMHZsus0EqeLi6xOEMjPnICPD0uIMCZmPiooaHDu2Vtg+JGQGQkMfR2WlW31bjNtu3boAKSnJAIyCV1WpQ/aMj3Dn1GTc/cgwHPntFHKe3ApvuRcKThVDrvDGkL8lW1rrK+7BSxnvw83dDVWV17B577Pw8HAXrovrHowjv50S9gGAI7+dgkymQEmJ8b7o9THCpCqDwRc1Nf0RFDQdMlkFOkGBmQFd8WctsKr0OKpID41HJ8R4dsauqov4+Op5eMvcACIM8+mKcE8ffHm1GBFegG/Xh3EVVywEWwrrzrq6Oh3V1XeA53sI7h7A6Aa6EQXeGib4DEYDiAmwu/tpCR/6MYvPjFZotIW4ANJuouzs5cK25hZnVRXh2LFXLba/cOFVBAc/gtLS10TcTRmoqpJZtHnH2zPxybvfI0jpC08vDwtXzZtZedD0CBFGADFJ3XGtWofd234GLyLuyUO0eHXZR7h5TDJ+3PUXSi4WQiZTwGC4PivWKK7pAGqhVoejW+d8PODXBYHuKmwqP4PBPkH4uLgISwIjkODtKxz7UE0F3rxyBhuC44TPrhjq8Gb5GWQGRSDSszNmXDlqc0/FcNXs2ry8HaKjsfYGE3wGowFML7alAGtw+bKtkAAKeHntbdDlIBV0NfnprS1OjSbUqQyT0tJzuHz5H1YjkI2IjpsPn861eGDhnRYW/cPLx+LvL34qCP6R306hk9wLOl0tArr44uVFW1B9tQZc92AkD9Fi35e/QxOhwo63/4uSko1mbqVKKJVDUFGxUCid4OWVj2C3ALyt6gEAqCNCod4YmD1Xdw1aL4VF+60DtwDgI3NHLQgJnr6ATIaqGsvvpRDrrJ31z9sbjTWU2dXWOgkm+AyGA1gLsFEEbIVkwoS7bYKwYi+5s5an1PYGg59oMJTIR7QjKLlYhFIZifrfC04Vo65Ob/ThP5MLr06eGPq3FHz2/r8s/PuvLvsIKcPicPBfZ+vFvhi+vmsFf70pWA3UQa9XQxk0Cw/4BQjn+kNXCc7dGJjVeHTCH7pKCwt/a0UhOsnckF50EJ1l7rhZHoSJvhzcIcOh2gpEenaGj3cnOIJYZ+2sf97eaEzqOI3tJJobJvgMRiOwJyTZ2fb3zcvbgaqqKnTpMh56fRgqKuZDr1fbtTzFLNWAgAWorh5rERz18sqHuussyN2BEpGOIEiphk/nWlH/u7yzN6YOfArBXCCuXb2GKQvvxCeb/4mZK8cL25YVV0Kv98Hubb/AYPCBu3sRFIpX689vGawOCpoGhaIzqOoyAt0D8F3VZWytLMIFfQ18ZR74V3UJ7lWokVN+CrP8u0PrpcDWikLsrr6EzMBIIZD7UtkJnKmthpdMhr+XF+Ki3hNXUY2UlGGiVrOYZe2I+0eKhkZjYjSmk2gJmOAzGI2kMYG+65bfWpsUzayspZLHM+9gCgr+Ql1dlJCLXlubDH//ZfDwOAqVtz/mRPoC8MYK/SwUXTLLigmaiV79whDXr4dNuuWmFR+jk9wL1ZU1uFJyFQkDopA2KgmvrfhYGA3s/eJ3vJH1A84XbbCw5N3cCkUF0d29GgFyOQbKgvFK2UnUgZAR0EMQ8lfKTmKKnwaTfXlsKD+FYr0OnWRueDIwUrD4E7x98URAD2SXHoMCnjiu6yxk6Vy6ZGs1N4dl3Zg4QGM6iZaArXjFYLQgYjNkS0s3wsfH12F/sJubP6qrRwk+8urqdJSXr4SHuy+y4gJxuyoAt6sCsELrjSjVw1CrwxHcZRru4fXY/+0hfLL5n4jvF4HNqz/B1IFPYfPqT9CrfxR8AztD1a0Lhozpg//mH8OMUasAUmDKgKcwqd8q5Cz7DOeLXhba7u5eDMATMhmgVA6BXL5DaK9JEIsuX8IEXw4+bu7ICOhhMat2bkA43q8oAADIADwbFI1rZBD16VeRAdXUqV7spSekid1f622cRWz1sIZWx3Js9a2Wh1n4DEYL0hjLz9pqVShegkKxGQrFBhD5wc3tCgBfxMR0Q+bhP5EdF4ok/84I9vaAj0cVFkZrAACvnryAqmodas9cgqenO8ouV0AG4NL5MpRdqkD11Wtw93DHkd9OY8iYfvhy618oLl4vWPNduowX2i6X74Cv72pJv73JPbVwzmz8oauUDM4W63XYVlmEWf7dkeDti84ydxuf/h+6SvjI3FBhaHhJxOawrBsTB3BFsLg5YILPYLQgjXEPmFutcvkO+PjsQGXlVPj47LAQ3P/8dya83PVY9N8zKK/VQ+HhhvF8F4xQ+uO38qsgIjyvDYXWT455f56Db0Bn3DfnNiQP0UKu6ITqymv49uNfsOPdf+L4H1cgk1XB3385KivnoLo6HXp9mBAgVijWS/rtNRqNIIjPPfUU1pedgtLdW1TIvWVuOGvWGdwsD8JLZSfwhJnrZ23ZCaR4B+DAtTrRALX5vWuuRU6cdd+5IljcLLR8LTfHYNUyGe0ZqWqXjizCYb0vx2lILt9WXx7YWApZqUyVKIMcS9puobR5RCptHpFKN0UZSw/HdgslnuPopqhw2jwilYomjaRwDU+3JcZSdI8w0mh4iu4RRqkxtuWJTQuYyOXbhIqX0ksZWpYszsvNpdiwcArneNJqjJUxV8cOpFiuJ6nVPHGqKOrBhVIs15M4jqcEPo5uC4ulKD6UOI6jSF5Dw7pFUwIfR2qV/cVfHL2/NzrNtsQhg8GwxZHAobXlBxgLfBUWHgWRAhUVU1FZ+RWKi/MRFDQFvr4vWNSAMXevmNDp+kEmq4QMvnj79EV8nBoNANh44jye7qlBkn9n/FZ+Fc/87xwAIMDTHRevVOMl7fXvHv31opmf3HLpx/LyLBB5IiBgEYjkota2Xh+G7Oz1wnXeNXYsiAiL5s1HLRnwYulJlNb5o7T0TcE9pe/8fzhnCsR65aMkaBa83a5ibGclurl3Rk5ZFc6XbBC279JlOmSySnCcrdXcZi3rtkLL9z+OwSx8RnvB2iLXasWtb6n66g0tqC62UIrUQifBwUOMdeQ5ji5MvpVuigqnz+4YSBcm3yr8++yOgYKlHx8WSv0iuhPPcRTTTSNZo1+t1pBSaVy5y7RoiHV9e2Obt9ksCp6bu52SkgaRWs2TShVtsah6cLB4jfpILlZyBaz2XKu+JWjVevgMxo2MWOnk0tJzTgUOpWrbKxTGzBJ394s2x6uomI9AkRrx1dWjEOjphy5eHvjifBlOXq1Bkn9ni32T/Dvj5NUa3KYKwIIoDnoDAQCU3p7w9/AVzS4h6gwPj7OIjTUtdr4SXboYrX3zksV6vdrCX266P3/8sQpFRSdRUvIOfHx2CBk9UmWTq6gCX1ddwiVDWZtMb2yvMMFnMJqAmFibgpvm2Asc2qttDwB6fTeb4+n1ashkVxAU9BDU6nD4+y9DVVU6uvhtxYJoPzwfF4pVfxVC1ckTv5Vftdj3t/KrCO/sDQAYFeIPDzcZnorl8XFqNGZF+AqLjcjlH0Op7IsuXcYDMCAgQG0x0Skrayl8fAy4fHkriou/gl4fLKQrmtYFmDlzkd3OzFQ22fpeGagzvlPKEdTF9tqt72VjFqfpqDDBZzCagJhYi1nf9vK2pXK26+oi649xBQEB8y2OFxg4E1On3oeNG1cZV87yPIqorn/HCq03blcFIMm/Myrr9LimN+CpP85hf2klag2E/aWVeOZ/5/BQmBKfny/D4H+dwZmqWrx+4iqe/7MQG45XALJL6Np1Kvz8slBWtr7eMn8Xly7JMGNGJuLiUpCXt0NydSkAwqhHJqu205nVCmWTrUcqlZUP4siJCowePcxuDrwzi9Mw0DQfvk6no+nTp9td05aIaNOmTZSenk4PPvggFRcXO3Rs5sNntAek1knVapMdXi/X3oLqWm0qhYYmUEDANFKpYusX8R5CCsUqCg1NIK02lTiOp7huPendEak2fvrP7hhIvcO70U1R4aQxy9J5Z3gqadSWa86qVDHCGrxSC6wbM4Rs15KVuidSPnqe1wr3ZsmSpfWLnZsWKN9udh9T7a7va2/R8o5KsyxiXltbS9OnT6c77rjDruAfPHiQxo8fT3V1dbRv3z5atmxZkxvNYLQVXJUGaE/UcnO32yy0LZdvt1msPFSdRG8NT6XlA5KIU0fVB0mjSKUKp5whKXTuvpH057jh9NrQZArlooXjGY/V30L87QVv1WqNqKiarsHUaRhTOS2PLXV/OE78fBzH271vPC+eHmodOO5INJvgFxUV0eLFi+0K/vr16+n9998nIiKDwUCjR4926PhM8BntBXti7SqshU3KclapwkXy6FNIFRJLvJqjyFAN9eoeaiHo5scyCbRUFpBSmUbBwUNtRHXJkqU2OfLX8/e3k1KZRhzHS94flSpK4nqi7N4XrTaZlMo0i9EBs/CbIQ/fw8MDKpWqwe2uXr0KrVYLAJDJZKiqqmrsKRmMNklLrJZkPYNUKrsF8BDJozcus+gGPZID3TCOC0Lm4VJcrs+jNz+WaQatu3uxTRVOY+mEGlRWLrQInObl7cB77+WipOQtkfz9ZSgvXwkfHwPWrs2RvE9BQf4wGCzXmw0ImI+gIH/Je5KXtwMVFTKUlb1gsY+3dw0yM59pwt2+cWn2oK1CoUB1dbXwd2VlZXOfksG44bAu4CWWuePllQ+ZrEqicuUZyGRVCPTwwJzfL+FKXQWCgh6CQrG6PjhsPJZJ/Kur01FRsRj+/suhVvdAUNA0ADpUVCy3yMYBUF+YrFIyOBsUNA0+PnV2ry8raym8vWuENM+AgEXw9q5BVtZSyX2ys9fjwoV1VhlA6+DrK3eoA+6I2T3NLvhJSUn4+eefAQCnTp1CYGBgc5+SwWgWWlMgrDNiunbVISRkvk32SmCgRrQj0Ou7QW/wwfZCD1y8/G595s3bUCi21ouyMVPGXPyrq9NRXLwHly9vRVBQELp1C0JQ0HwhG8ckqoWFRy32szxvGM6fP4xjx162mz0zdmw6Xn75GXTr5g03N6BbN2+8/PIzTq1XCxg7mfLyggbvZ2Oze9p9J9FUf5G5D//VV1+lffv2WXxfV1dH48ePp6ysLEpPT6cPPvigyX4oBqOlaYs1WsRiB7m52yk0NMXGh8/z8cRx4n5y077Guj0N16uxhue1pFCssgn8Xs8qarpvXexam5Kh05h92+IzIEazBG2doaamhr744gs6cOCAw/swwWe0JdpT+l9u7nYhXVOliqKIiF4UGppgt+CZKT3SJPo8ryWO01h8LhWU5jheKLsQHDyEVCre4bILjl6PmNAuWbK00QLcmOye9vIMtLrgNwYm+Iy2RHtM/zO32k0VNo2iPFSwvE0irVCsopAQW8veEVFNTh5qdlyeVKqekhk+1uK4ZMlS4nktqdXGTmbJkqU212FPaBubIdUY8W4vzwATfAajibQX686EeEG2GBvLOyQkifz8ltqdINXQdZufy5Sn70jpZGMBtiSb9liLvklo5fLtZp3VkAZz9J29Pw2NDtrLM8AEn8FoIu3Ff2tCTJykK2wOtSvSjli1JktbpYqSPI9Wm2qxj1RnwvNam2uxjhGYZiM35f47OzpoL88AE3wGwwW0xAQrV52H44yzXc2DptKirqGQEGnxdbbUc2hogu0s4NAUm+uQns3L2xxTrY5tFuu6MaLfEs9AU2CCz2C0ExqzIpa16OTmbhed9apUJoqKpkoVK2pBNzYwagwaJ5NKFSXUAxLb3lELn4iI41zvP28vFruzMMFnMNoJDfmJxUQqJCSRtNpkIS2T48StYZUqhni+j82+pgVJzH3kPK+1WJaxOaxaR334jtyXxuDsMduDdU/EBJ/BaDc0lAkiJVJKZRqFhiYQz8dLuko4TmNTe0alcsxH31gaEklHsnRMx3G1Ne5M1k17Gg2wNW0ZjHaCdc0cwHLBD6nZpe7uZ1BT063+Ez/R9WY5LgpFRUdx8eIJAJ4AgODgYaLbSi3W4gxSa/vu338A33yzT1hzdv365xoshdAca9U2dK/NsVzoxlgrqLBwDbKzl7ev9XJboQNyCGbhMzoiDVmSUha+ShVLKhVParWG5PJtNv74kJBE0dmpomWWRQKsjUG6rRHCKMM0MmkNS9kZq7295OATsTVtGYx2g9QqUiYrMjNzjlD3xnKFqKkA/Iw1c/Rqi8JnAQGL0KWLJ8aOTRcpwhYMmawCgYGPQ60OR1DQNNTWlmD//gOi7XOmlozYaMTdvQhECpSVvYCiohMoK3sBNTXeWL78OVfcPqdo6F6bI7UqmStGQi1KK3RADsEsfAZDHLGUS1M6I8dpG7TYzf3qPK+lgIBpDuW4O+vHdmYuQEN171ubG8WHzwSfwWhnSLlKIiN71+fAJ5JKZVrxKkYyEEpkdFUEBw9xKFulMVkt1iIpHVBu/KzZluJGyNJhQVsGo52RmTkHGRkLhGCoMSC7AF5e7jhzZoNVEHIvvvlmObKzxY+lVkehoEA8EFxUdNTiM6mAsfV2JqwDrYAf6uqCRIPEAQEaB6++9WiJhW6aG+bDZzDaGVK+5/Ly804JMoD6RUwUDvmnG+PHHjs2Hfv378G5c2exfv1z8PKSISBgrkUMIjh4DrKyljh28Yym0QojDodgLh0GwzkaOzlJbD1aMf+0K/zYjs7CZTQe5sNnMG5grpdB1pBaHVs/c9Y5QXbUP91e/NgdGSb4DMYNipjVrVIlEcfxHVaQO3qn1CxB2zfeeANffPEFgoKCsHr1anTt2lV0u9tvvx1dunQBAKSkpGDOnDmNPSWDwbBCbAZoSUkOEhKWY//+Pa3cupZHanYvgHYfcHUFjRL8X3/9FXv27MHHH3+M/Px8vPLKK8jKyrLZ7vz58+jWrRtef/31JjeUwWDY4mzmzI3ODVMCoZloVJbO3r17MXr0aLi7u6N///747bffRLfbv38/jhw5gokTJ2LChAn4z3/+05S2MhgMKxrKnBGbGevMbNn2BusA7dMowb969SrUajUAQCaToaqqSnS7yMhIvPXWW/i///s/ZGRk4IUXXmh8Sxmtzo0sFO0V61IJXl57wXELkJk5R3BvHDqUhYKCEzh0KAvz5j2PefOetvgsI2P1DfNb3jAlEJqLxgQFNmzYQJ9++qnwd79+/US3q66uFv6/oqKCBgwY4PA5WNC2bdGeppZ3NKSClPZKKbf1dVkbC3tOm6F4WlJSEn7++WcAwKlTpxAYGCi63TPPPIO9e/cCAL788kvEx8c3sltitDaWvlFPM9/o+tZuGkMCe6WUrT+7UVwezhRE64g0Kmg7YMAA5OTkYOXKlTh48CDuv/9+vPbaa0hKSsKAAQOE7WbNmoWMjAysWrUKISEheOaZZ1zWcEbLwnyjbRN7WSlS9d71+m4Wx7jRXB43QgmEZqOxw4aamhr64osv6MCBA00afkjBXDpti+ZYYo7RdOz9LmLujdDQFAoNTejQLo8bnWbJw/fy8sKoUaNc2fcw2jBSBbsyMxe3dtM6NPZGXuKrRD0p8hlzeXQUWLVMhkM0xxJzjKbT0DJ9Uu4N9rt1TFi1zA5GU1IrzSsf7t+/h4lGG8BeWiaDYQ0T/A6EWF72jBkrEBeXcsPkYXc0bqSsFDbPowVohZiCQ7Cgreuxl5fNAnctS0cr8NXQ9YoFmENCEkmrTb7h742rYdUyGURkXM5ObHk5tVpjk3HT0QSpJekIk4PMnx+tNrXBzCBmjLgOJvgMIpJ+qYKDhxKgI57XEFHHEKTW5EZPcRV7fpTKlPrF1sWv1xljhGEfl8+0ZbRPxAJ8AQELUFk5R8jsyMvbgTlzlrp0Vi3zzVpyo09iE5uVXVa2DgrF9efH+nqlauDU1UXdUPemtWFpmR0IUyBv+fIMlJaeg14fhoqKDOj1weC4BRgxYjgyMlbDYLjiMkFi9cltaSiVsr0j1aF5eFx/fqyvV2yeR0DAAlRULL6h7k2r0wojDodozy6d9uD/FmujydUQHOw6l8ON7r5oDG3NZebq59V+0Tb7a+ZqtamkVvOkVKaRXL6t1e9Ne4T58FuQtvYyO4PJjyqXbyel0jXXIOWbNcULOipSItvSxkJzPK9SJR202mSHrqs9GExtGSb4LUh7tmjN2y6Xb6fg4KGkVmuI57WNfuna8/1oSYzWbTKFhCS2qLHQXL8PE+3Wgwl+C+IKi7a1XpaWsvbay4inpTDdI6UyrcU7RzYCu/Fggt+CNNViam2BbI7Ohll79jE9M2p1y4svG4G5hrb0jDPBb0GaKtht4QUUe3jb0gN9o2Gysl0VLHfmt2ptA+NGoK3dQyb4LYyz4mi+vUoVRXL5Nhsrj+P4ZhVcUxs4jieVKskm4MbzMaRUppFarSGlMo1CQxOYKLgIUyfvTLDcXtDXWfFhnXnTaAtGmjnNIvibNm2i9PR0evDBB6m4uLjJ21nTngXfGRyZlahQrLIRYVdaEOZtCA4eIvrwqlSxNm3UapNdcv6Ojvn9l8u31XesPGm1qZJiLyXqbU18OgJtLQ7icsE/ePAgjR8/nurq6mjfvn20bNmyJm3nbKNvJBzJWVarY136EltbdFptqnB8KT+y8XPrTiDKxXej4+KMlW1P1FtCfK6PBo0ZXKbRp3mbO9Kooa11si4X/PXr19P7779PREQGg4FGjx7dpO3E6CiCL/WCchwvvCwcJ72N1IvkzJBfreaF40v5kYODh4ien9Hy2BP15hYf8RFpf2EUynE8abXJFBqa0mZ82s3NDe/Dz87Opm+++Ub4e9iwYU3aToyOIviOvKDOVhJ0dshvng4o5kcOCUkkhWKVzfm12tQWvls3Ho2xhJ1dx9aV4mOvAJ/JMGhKeml7HRm0pXa7XPA3bNhAn376qfB3v379mrSdGB1F8B15QaWsKrl8u+iL5OyQXy7fZjHhx2itxZJazZNK1ZMCA8eTUtnXJpDryEPdll4EV9PUa2usODe0nyPtamzb7VW1NP23semlbc1Sbq+4XPB/+OEHWrp0KRERnTx5km699dYmbSdGRxF8IsdfUJUqitRqDQUHDzUL6tq+SFKirlJFkUoVJdoZaLXJQh0TlSqKlMpEoZaJUtmf/PyWklKZJuqvFbsWjtMQx0VRSIj9OujtFVeIU1PcL6aZuSpVVL0bRTzA6+q2N2zhD210emlb84W3V1wu+HV1dTR+/HjKysqi9PR0+uCDD+jVV1+lffv2NbidKxrdnmlI3O353nleayP4jlj4RjdNilkWiK1/dcmSpaLZQkplMqnVGgoJ0ZJcvs2ulWYtJEplGikUq4QSDcHBQ0mhWNXuX2Bnfgt7NCXA2hyi7WhHI+XDN406zZ83Z9rW1rJd2ivNkpZZU1NDX3zxBR04cMAl21lzowi+uYA3FMxasmSpaPqluBgbXzJHfPjWPlXjC2lprTuSLdRQKqb1MVQq3iYeoFT2b9fBXnvuNWfFSeqe87y2QVdLU0TbWWG1NkKWLFkqjOJUqmhSqXhSqWLr4zymuE8sabWpLotNMByHTbxqJRoSXutgm1T6Jc9rJT93JEuH4/gGX3D7vlnHArXWxwgJkW53e6Uhl4Yz4iTWeYSEJFkIp5Rl3BRr2BlhbWgkYT5pzDSSUyrTKCIizukYAfPhuwYm+K2E9YtlL5iVnDzUTg58w4JtD602WZgla3JBOJoJZFz+0LFzOnq9HNd6Q/SmBlrtdYyNESfz9vC8VjQbSkyIXe2WkWp7Q+cRO1ZoaALxfB8W5G8lmOC3EtbiYC+YxfMam1muJteLVKBVpYohjrP/YuTmbrdxIymVKfVD7mSLGIHtdn3trkMqdi5HRzStQXMGWptSQtqEM1Z7U69FTFjFPnOkTdb7RUb2lkgMSLVycaY6XCOf4ThM8FsJe8FTsfx4U+DLOrgqFmgVG/qbfKtiq1jZ+ub7WZzfKPgJFvVyQkIs/bKhoQkN+mXbcpaOK3zEzel2cLZ9jbGGnZmQp1IlSRob5s+XKT5lejakRqRqNS9RRmSbcL4lS5Y26t6xkcF1mOC3ElLDXTHRXLJkKanVxtz3kJCepFKFi1r7xu/Fh/7XYwDXhUhqlq7JN296eaXERqWKJo7jKSKiV6NmT7alF9FVWSDNdU3N1ZmYd8JqdaxojEDaMOjbYFaXySAxZmQNMVuicLvNs2TPbWh6hltqPsONChP8VsT8ZbNXd8Q2eJcgWjVTrebtWFC29W6kAr7XffO6ev+xdPzA6FaKaVPumcbQHrJAXN2ZiGcVJZBSmSqM5ExuFalnyjqra8mSpRZpqUplqsXoVMx6VypTSKVq6Lk1/r+zv0d7+F1bEib4rYC1rzI0VNq1YT8l0lqopaeui9W7ER9GGydSmS9haF5AzfqYRstLephunqrXFix56/tv7qPuCJagdSC4IbdiSEgiabXJDhkG1vfQOCs7yo5VH0VKZRoplfGSRoO5hR8cPIQ4jqfY2GjSaDQUGxtNU6ZMpj179pBerxe9XqlRbEfN32eCTy3rWhC3qlIkA6D2rGtroZaa2CJV78YUTDQf0gcFjaovnWAMFCsUqyg0NEEkaNtfaLO9TkahWEUhIc1XvtkV9988VtGWOiZXY33t1plSUokDkZG97cwvEHf9idVdMt/H9AybMsPEnhPLUUB/oQOJiYmgBx64nXbufJ4++GA5jRx5Ew0ePIiOHTtmc72uribb3unwgt/Sll1DKY7GnOUhgnUsZV1rtan16Zo8BQcPsegwTKUSTFk6Rgur4UlOS5YsFToHYxs0pFLFUkDANIvyCmLnsw7Aml5upbLhtE9naKood+QhvvW1Wwu8dKosb2EYWE+kMqVVchwvPDdSsSRLi90yrVel4oWRpVodQypVhIXh0b17Cm3b9iy9//4y6tcvgXiep+joCOJ5jqKiwkmrjaYtW7YI1r51soN5wPlG68wdpcMLfksLQMP+UNtArr2AqCPtN+ba9zGrhZMsWsZA6gUJCUkSfLRS1nxERC+bDkgu325ReO16R2C/DIMUruicO/IUfetrt37epH5b87UNxDK2QkMTRGeCW1r0159zqVGttYsoJiaGevbsXd+5D6Dc3JW0fftK6t8/kVatepyGDEkhjYanmJgIevjhdPrww6do0KC+grVvul7ziV8mt5AYN/oIj4gJfosLgD2fvNSKUlptsuSDeD2Dx9wSsqyOKJZrL7YMIcfZ5vubu394XlOfdWFbIlmsA5JyESiVaY3qUF3ROTML3/LaFYpVQsKAShVpU/nUumSGvbkG9v381zsP4z/rVdIsXUQ8H0PvvbeU9uxZR1Om3EGxsZGCuK9a9TglJMRSWloSaTQ8paUlUWxsJOXmZpHB8C1t2bKckpJ6UVLSIId/644Sw+nwgt/SAiCejml8qZydNSuVHz1u3ETJwJy5S8gaU3aF1AzY+PgB5OVlO1We4yIoNzfXpk32Zgc35kVyRefcUV5sMaTqMZkmURk7c9v5Fub3xl5MSTrLxvRsJlJsZHfS8Bz1igknjjMGdNVWLiKeS6K4uBgaPDiZRo4cQB9++BRdvryTamt3k0bDU9++8ZSS0ot+/DGHdLqv6ccfcyglpRclJMQS0R4i2kMZGfdRREQPmxGmVLxGKjB9oxkCHV7wW0MApIaOznQ+xpfUVsyt17h1pv640coTD3JpND1J2zuBOKtp8Xy3ZLpz7v0UGRdDGQsWkF6vF65PehZwVKv631t66N4WXAWm59w8PqNWxwqTmUz31rozty6IZ29Ohqjlz8UQz/GkjYojbVQ4/ZAzka7tnk0/5EyklF6RxPMc/eOZdEqOTySe4yk5PpEiI7qTVhtNCxdOoqFDjW6boUP70fbtK2no0H4UFdWDfvwxh0ziTrSHfvwxh6KiehDRHsHt8+OPOfTRR89Sr17JFmWixVOdE0VTnW80V1+HF3yitvFCmtrhSOdj2k5MzK1dMs7UH09OHkpBQaNsrKKQkEQaMXUsPffrBzTlpQXE8TGk5ozxgKhePWnqugU0Y/MzFBYRTpqwUEq/Zyzt2bOHPv441+7sSWc7VvP748iC3m0BVxoUubmNr3PfUGfp7LNnOapMpCmjU6h7N0tjQK1KpI9XjiX9d3NpSL9Y+iFnIum/myv8+yFnIkVHdLP4/Ot14ygyMpwWLLhPEG2TFd+/fyItXTqFeJ4jne5rMhd8ne5r4nmOiPZQamqCaIcwdOhNdu+FWKozs/DbAO09D98e9jofvV5Pe/bsofDu8YJ/1PTgXrfMLLNoxALBUqUWjFk6SVZZOjGk7deHpq5bQPEDehPH8xSpjaYZm5+hrP1/pxmbn6HY3vH0wNoniON50vZLpEnZc6jvTamUdtNAeu211+uzO8RzsRtjnWu1yZJD9baGK0clxmCpZTzG0cJjDbnDjPc1tX6UF2VRS0msLaZnJz5+AHFqjq7tnk0frxwrWOp94xOJ4zhByDW8cRtzwb+2ezbxHEe943oIlv+QVC0NHNiHhg5NkRDtftS7t1bSwt++fSXxPC/aIWg0Grv3wjrVua0+U03Bnna6oYOSl7cDKSnDoNGEIiVlGPLydrTYscaOTcf+/Xtw7txZ7N+/B2PHpmP79jzc1D8F3UJDMevhqajRlUKn64fKyjkICFgAhWI1fH1Xo7w8C0VFJ1FevhK+vqvh57cMCsV6uLufRVDQQ+C4cCQkLMeECcOxdeu3OHQoCyUl63DmTA1mzZqFv/89F6WlOaisXIzi4u9QVHQWJSVvo7rMgB/e2Am9rg4AwVPujarSCrh7uEOTGIlhc+/F/g93o5OfD6pKKvBdzscouXAJtZ3dkPNaDrZufRMymQwXL36P6up04Vp1un4oLPzL6ftcXl6F0tKN0OkGAvCETjcQhYVrkJ29vrE/U7NRVHQUOl0/i89M1+3Mc5GdvR41NQqUla0TrtvdvRg1NZ6YPXtWg8dQq6Pg5ZVv8ZmXVz7U6ijk5e1ARsZqHDu2FoWFJ1FS8i6qqjwkj2V6Rr///jtcqyoAH+yD/Ucu4a6BofhlwxCc2XIPXn5MCz8fT+w7fBG1dQaEBnfG/iOXLI6z/8glcF19EKn2xfR1exExJReFpdcwc+ZoHD1aiH79oi2279cvGkePFuCpp+7D/PmbsHfvH6itrcPevX9g1qxXQURYv/4ThIUFIz//L4t9167dDpnMFxpNKAA/0XsRGKhBQsJycFw4goMfgU53DtnZ65v0/rcrnO09CgsLady4cTRu3LgGV7DKy8ujUaNG0eTJk2ny5Ml05swZl/RSTcWVE3NcMZzPy8ulfvHR9P284VT5Yjp9P2848VyUhWUvVlve3oQnc3+tufVvL8gak6i1seqnrltAz/97C2Xt/ztxPEeRcTEW20TGxVDKqJto4M2DKDlZPPvHfBGVhu6NPVdWW/W3SmXGSAVPpTAWHrt+3VIjN3tWuTOL19uLteTl5dKQmwYQz3OUkhBJE0YmUZK2h4V/vn9iFGVOuYmG9IslDc9RRHcN9bbaJrlXBE0YmUSxkWGk4TkakhJL3bt3o8uXd9LQof0kLXyTn37o0H6k0fA0eHAyhYWFUq9escTzHG3b9qyFOyg7+3FSqSzXZbZ+N0wzisUWFLqRLH2XunQefPBB+v7778lgMNCUKVOooKBActsnn3yS/vvf/zp7CiJqXsGXevi12lTRB8Fe2QBXDOeHDOxP388bTjUvjRX+rbwrhdRmD7Ajvnzzc5uGtNb+fSl/v1ptdOE8/+8twr8Zm5+h+AG9hf8PiwwX3SY8OoJSBg+glSufc2qGsb3fprHrorYGYkLbmNmf1nMgnLkH5pOmOC6WVKpwixiAvbkh1oKXl5dL/fvECcK96vHhlNizB616fDgNSTGKe2xkGGVOuYn0382l2m/n0ODkGPrgqTsp97m7hA5gSL9Yypxyk01HwfMc1dbutgi8mnz4iYmxlJwcT9u3ryTzjmDbtmcpMTGWfvwxh4YMMbqCzDsEjcb2fisUq4jjYusnJfYhpbKv4MJsL89WY7CnndJjOhH0ej3+97//YfDgwQCAgQMHIj8/H+np6aLbHzhwAGfOnMHVq1fRp08fLFu2rMkjElcgNQQvKzuHS5f+UT+cBnS6gbh0KR2bN29FSUkOdLp+KC7OR0bGAgDGYa/UsYqKjjrcnmOnziI5PcXis3lpPF79OR+c8iHU6CtB1BleXvlC2wDAw+OY5LnV6igUF+fDw8OyfSYXUVnZGuh0/eDllY9g1TwY6iqhjgu3OJY6LhylZy/i3O/HsOeVbaitrkHl5XJ8OGMNSs9eRGCoEn3uGYqaq9WIvi0Fhw//gbVrFyM7ezmKio5Cr5ejvPx5GxePvXtjup9i7eS4BcjMXOzwfW0pxo5NBwDhutXqKBQWVjr9XGRmzsG8eU8jIGA+ysrW2fx2UscwuWsKC9fA3b0Ivr7r4O5+GnV1PM6cuQsZGavh769CcbHl8+PllY+6uigzd9lyjB2bjg3r1uLFBxOQFqcEAHx5sAA5M1ORFqfEwnHxAIB9hy9i+d//DQD4538uoJOXOyYMCYdMJkN6WjfhHMMXf4UNM1KFY6XFKeHt5YkrV6qQnp6GAweOYvr0l1FRUY2wsGAsW3Yf1OogLFjwJgAgPT0NAJCT8wk2bpyFgQO1mDv3b1iw4E2sWfMwvvpqJfLz/8K4cdk296qy8gn4+W1ARcVs+PjsEJ4ltbpHk9/Z9opdwV+xYgWOHz8u/H316lV06tRJ+NvPzw8XL14U3ZeIMHfuXNx2220AgGnTpiE/Px/9+vUT3b4lMYmh9cNvMPjYPAhy+Zf1Yn+9EzB/OaSOpVZHOdwehbcHDhRUYEA3f+GzAwUVUHi7Y3SsHPvP1eLWKH+8tX82Ci9uEARQrBPw8sqHvz+PzMw5yMhYgKqqbhbbVFenw939CIKCHoZMdgUEH9z8yCj89N4uFB0+CU1ipHCsosMn4eHtiX9t2oGwlFj8sXs/9r79GW5dNAnquHAUHT6Jb9f9Ax7eXujRPx5b312DD//+gSCAKSnDUFKitrhWsXuTl7cD2dnrUVh4FAZDZ6hU4dDro3Ht2nD4+y+Hh8dRuLn5Ye3a54RjtzXGjk23aFtKyjBcuuTcc2Haf/ny5+DmNg1EctHf1/oYxnu3Bu7uxfD1XWvRSQYELMClS+no1m07OG4BCgstv6uoMHag5oJ39ORppMT0FY5/rOAKUmK6WpwzJaYrjhVcAQD8/ZtjeOCWSMhkMptrEts3LjwQX311EHK5F7799jcEBSnw1lvzMHCgVtgmPT0NS5e+h9mzX0NUFI9jx4oEf7+pE1i27D0cPVqAoCB/BARoRO+3weADufzL+nti/K6uLsqh+9oamN4Fk+GQmTnHpc+83aDtihUr8P777wv/tm3bBrlcLnx/9epVEJHovjKZDMOGDYNMJoNMJkNMTAyOHTvmsoY3hczMOeC4BfDy2gugFl5ee8FxCxAU5G8T6LFnRds7VmbmHIfbo6utw8Ivj+OnM+Wo1Rvw05lyLPzyODp5yPDjqXKcLL2GeWk8Vo/yQ6/uj4HnwtGr+6PwdKuEKniWxblVwbPQyaMaY8emY+3axejaVYfAwBkW2/j47EB5+bOQAVB418Hdww26qhp8s+4fOPf7Mejr9Dj3+zF8s+4fqL1Wi+Rxw3F6/5/opJDj1kWToEmMFIK5w+ePh5ePN7w6d0J1VZVD9zkzc44Q6OZ5DWbOfAaHDmWhsPAESkrehsEQiurqW9Gp07eorr4V3t4arF/fdsVejMY+F2PHpuPw4f0oKvoLGze+4NAxTKMihWK9mbAZA91lZWsgl3+J8vICrF27GJGRGVCrwxEQsAgVFYuF0Ze54EWFh1kEXyN5P9FgbCTvBwDI//MSRvblRK9HbN8RCUps3Pgp1q/fiTVrHsaZM8UWwdsdO/Zhx459eOONuXjppUdx6ZIBBgMQF7cAeXn7ABhFf+XKKfDz64z161/FmDEjEBQ0S/Sdtn6HTaPHpryzzYFppHboUBYKCk7g0KEsZGSsdmlA2SmXjru7O/z9/VFUVAS1Wo3Dhw9j2LBhotueO3cOS5YswXvvvYdr167hxx9/xB133OGSRjcVsSG4yVWQkWFpBQEKu9aA1LEcFSeDwYAaPSFjYChWfHsKx0qqERkkR8bAUCz48jiI6hDVRY4DBRVI13ZBurYLAOCnM+WY9FEpXrzVF2t/fAznK0uhUgQiY1AgFn19At999x1ee+UVVJeeh0zmiYCARXB3P4O6uihUVCyGXh8MmcEHVTVX8eu27xAUqkSPAfH416YdgrsmdlhfnPj5vzjw0bfoEq7GyV8Oi7p9qssqobt6DZ3MjIGG77PRBeHvvwzl5SstRlBlZWvg778cZWVrEBz8SJu27KVo6nPhzDGk3HeA0Tjx8DgGf38eAFBVJRNcHHp9MIyCl4+goJkYMWI0AGD2/AwsXPkUXnwwASkxXTGqL49ZG39BzsxUpMR0xf4jlzBz4894enISAKCyuhZ+Pp6i1zD7bz0x+9VfsGHG9X237DmBa3qgpLwa/fpFIyqKR37+X4KFv379J1iz5mFcuFCGRYs+RWHhy8L7OH/+XOj1BnBcEObOfR0+PgpcvlyCrVu/RWXlBPj7L4OHxzEACkyYcDdSUpIxa1am6Cg3OPgRAFec+m2a0wI3jdSkvAkuwdmAwO7du2ns2LGUlZVFI0eOpMrKSjp//jwtXLjQZttNmzbRyJEj6c4776T333/fZYGHxuBo9o31ds0d0d+zZw9Fdw+1Cdp+P284DdCGU1SYhrY9fDOl9gy3yOJJjulOEd14GqANNwbIekXQtodvpu/nDaeY8DDqoQ6l6JBQWuadSrPkycQrLTMWVCGJNFHRizbJhpA2LIKGT02n2N7xolk6HM9TeFQE9ezbSzRoG9M7jmKStMTxHKXdPIjy8vLsXrN5oFs6a0jTZrNyWgN7z68paCxdGC1WqNVkO6dDQypVT1Iq4y1qL+Xl5VIvbRTxPEcDkiyzcQYkRVHf+Agh1z42MoyKP3nMIv/e/F/mlJsoOqKbEMjNfe4uevzuAaRSRZNazRPHxVJUVIQQvNVojDn2yckDJDOLUlISKDY2ho4dO9Zg4oS9chPO/gbNqQWuqvnl8olXx44do507d1JZWVljdneItlRaoTln6U65bzzdnRpLCZFhFoKeEtudtOGh1Dc6jGpeGkvbHr6ZhvSKIA3PUb/YcIoJ01Cf6O42+8R0D6VYZTfSKrvRMu9Uekc2jN6RDaM58mTqroypr2sSRRMVvYTvXvAYRN26h9HwqekU37838Rqe4gf0FlIyw6MjiOd5emDtEzadQoQ2miJ6Rll81qtvol3RN3+wpTJRTJ/fKJkTTUGqnpL5+q/XJ6tZlrAOCUkiP78lFquaWVeWVKl4IX02NLSn8Nvt2bOHUnvHUmpilEXGjpBiWS/eD4zuS1ueHiMp+NaTshbfP1h0pnd0/XMWGxtJP/6YIymAHMfTkCE30bFjx4SSzQ0JpdQ77My73dw1uVx1fJdPvIqIiMCYMWPg7+/f8MZtAMuhkvOTeMQmSgENT7hyZELWL/sPIOfOKPQMluOR7UcQsy4fD28/gqs1eri7yXBLZBBuffd3zP/cGP9Yd3skfDzdENTZEy/dHoEB3fzh6e6GAd388eKoCHgYZFhYHIFy9zqE6XyE88gAdMY1PFSigZvsKoZdvR5I66r3Aq/rhDMH/oS+To8hs+7GXdmPI2JQAqrLr6Lm6jUEhCqh6OKP/g+Mwr827cDrd2Xiuw0fo/aaDrcunmzh179p9lisffkli3vA8xpoNHHgectJMWL+1ICABaiuvrVJflVXTqxrbcSe35KSHLz3Xq5wXSbff5cuXggIWAS1ugf8/ZfjypWnce3aaKjVUVCro6BQvGQ2ge8EystXgigY7u5FcHc/A73+Cp55ejE0Gg1mPP4oqnWEHqrOWPber4iYmout/zyJN+el4djmu5H1QG+8+NF/EcX54b3dxyTjeYClL/+Db8/bTKorLd2IK1fc4ebliaqqGsyYkYOgIJXo5KmgoG749tvv8fvv/0FGxmrU1YVJTjgzYf0OA0BcXApmzFjhsM/cFRl59nBFPLAhnPLht1dc/UPl5e3A8uXP4fLl2voH1zZd0zxVTux7E5XV1+DXyQN/v1eLHmt+RmQXOY6XVIMPkqN/qB++O1mG1bf2QDLviwMFFVj81QmcK6+BTAYk874W7UrmfVFWVwcZZAiu88Jpryr00HUGAPxTcQl3lavQQ9cZ/npPi+8AIOaKN0rVhD73DMHP732Bf722A/o6PTw7eUHu54OIAfH4avUH8PLphCsXSuAXEoTqK1dRV1Mr6tffeeKUcA8uXUqHj0+1kD2iULyEwMBZKC3NQXX1HfVZQ9Mhk1WASAGgEv7+f8eECXfZ9V1K+VMdvfftBannF6jA8uWW8Y2srKX1175VNJ111qxMXL78loWfuLQ0BwEBi6DXd4OX52VM/FsvbPvsP+js44UTp0vwW10t3EAIU3bG6oeSLVIsX3w4GfNez8fVa3Xofv/H4Lv6oE5PuFBajUjeD7P/1hPpad0w+289sfDNA3jx4WQYSDxlVSa7is7dImEoLUV5VRV0VUUIDJyJ0tKNFummBoMGO3Z8YpGd5EwKr+n5qKryQlnZy5I+c+vnSyq11VXZPa6I+zREhyitYG/KubNcFzEvu1P/HR1VKOSdcOVaHQCgk4cMBjMrafexEqy+tYeFFb/61h7w6+SOUH9vHCiosDjWgYIKKDzdAQCDK7tiu/95nPC6Cj0IxR46weI3wIA8/yLhuxNeV/GLTymqSoxpdg9+8BQMdXpE3ZwImQyovnIVv3/6I6qvXAUADJ8/HkNn3wMPL094eHui6PBJi3YUHT6J7j26Y/ny51BV5QZf3w0A3ODuXgzAE5WVi3H16gQEBT0EtboH5PKvUFV1N/T6UJSUvI3z50+iuPgNbN36raS1ZS+joakjuqbi6tGF1POr14fh8uVai+ObsrMSEpaD53sgIWE51q5dLKSNymTiYuvufhreXmWYMTUB2z77D2rrDHhu8a04vm8h3nhhLOQ+XigoqUYXf2+LfYtKqlGrNwhW/5qHU1CnJxCAGp0ez7z/G3bsO4P0tG5YeG8cZr/2i5BObH09JPNFxenT0On1iJ7+EAa8sg7dbuuDLl2nwM9vJcrKXkBR0UmcOXMXZs3KREHBXwgImAtf31Vwdz+HwMBHoFKFIyhomnDNYr/F9Y7ijKQhKPZ8VVTIEBIyo1ktcClvgqvoEILvyqGSIw8L4PioIjUlGbuPl+KT/12CXycPZI0Ix5/z+mHF8O6oNQDnK3QW2yfzvqio0aOyRm+Tyjnns2Oo1OkBAInX/DCiIhif+V3ACtUReJEbTnsZ0yYr3PUW333mdwG3VCihr9Pj579/iT927wc83FBw6DgS7hwEP2UQ7lg2FY/vWIWhs+9B/gdfo6q0AiMX3ge5X2fseWWbRTrnDxvycPPAm3H5cq3wkpaVvSDU/gkOHgZf3xwABnh4BKG8PAve3nttUgrtibS5qMvlu+Dvvxw1NecwZ85SFBb+1WoTa5ojtS4zc45NyqExh34hSks3CrVgTK4z4z2wzSIxzqkRF1uZTIGXV9yMjEcG4krlNWx87m8YmBwGTw93DEwOw7oVd0LZRYEHX9oHg+G6UbIu7zA2zuyPtDglPD3ckBanRM7MVERxfnhhejK8Pd3x3Ie/48M9J/D6l6dQXiODfzSPwMCZFtcTGDgTqoGJkMlkiLp/Mvyjo+Hm7o6wMaPh0dlfMK7k8l3w8dmBy5ffQlnZywDcUFa2FkVFJ1Ba+gYMBg5BQf4WIz3r38L0fJjy8a3vhVodJWo0XLiwDr6+covOdMKE4cjOXm/TubdVl2KHcOm4cqhkEvKGJm84OiFryvRHkb1kLmqrq7Du9khh8tWAbv5YPzoSmV+fgLubDBt/LsCxkmqE+nsjpLMnlgwOw6p/nsbD24+gqtYA3s8bl6tq4U1u+L3TFSRe8xP+AcCnvufxUUAhxpVxCK7zgp/BA3Mu9RDaccLrKrw8PJB45yD8tv1f8PD0wMiF9+Ffm3Zg2Nx7hQlZpkJq/9q0A+PXz0flpTLckjER/9q0AyVnLsI3wBfZWc/j+ec31A/FixEcfCs8PI5Cr+8CufwzwQ3m5ZWPkJD5iIych9LSIrsibT28Liw0/g5y+Q74+q62GM4HBc2CQvESKiuvD+lbamJNc6TWGa2+A9i8eRpksmohtdaYQ1+LwsK/RF1nly5dd2Wlp4/B/ZMnQt7pGkKUs3HBbAIfp56LtcuH4q7b4rD3wGlUVdeiX5LGog39kjQoulCBME0AXt91BA/fFo39Ry7hTPFVi4lVBgOhqqYORy/UYMpLP6OmRgfI3LH6k7MYNvhmnD9wANFzZ+KXRZkIcp8OGVUAMl+obkpC196JuLj3B/hGRFicW3/1ovBsmM81CA4eZlZozpTSuw5du2bY/S2Cgx+Bl1e+3dncc+bMFn0ey8sLcPjwWQCQdB3u338AW7d+2yZdih3CwgdcN1QyDa8bmrwhNqoICZmBqqoqi15/8ODB0Hl0xrGSasEnv+OPy0h7/S9M+uhPnCzxwNPfnsKK4d3x57x+yB7ZQ5jROCctFJyfN45lpGLn5Hh4usuQWhmAfyqMwbHfO13B+q4nsFz1J056VyGu2hef+V1AsbsOHwUUWrh0tvufR7cyDxz55gAmbnwCtdU1QmkFqZILRYdPIjBUieghvTFxYwa4iFC8nvMa7rrrLhQVHa33u14PEAKdbdxgFy6sg4+PL3g+WtTa8vfnRS01IuP8CLHJRiUlOVAoNlvd+/ktMrGmuQJ72dkrERQUhMuXt6K4eI/FhCmZzB+FhWsgl38lOUr67rvvcLH4IgL8OkFvuICuXR8Ex4VDGfwQHpncA6NvicXeA6cxa9lOKHy8kP/bOYvz5/92Dp19PHHqXCk2fHoEEVNy8cQb+6Hp6iMEYzftOoKI6bswbe0+uHVSwKfveHSb9gY0962FLPZ27Pj6XygpKMJPs+fA3dsT3n5A/NxZGPDKs+jaOxHHtnwIL39/VJjN7gcA985K4dkwn2sgNe+gvLzA7m9BdAUctwB6fTAqKjLqg9zhiIzMEFxBjriBpVyH77+/vVVdivboEBa+KzGVLCgsXCM8LO7upxEYqEFW1hKhI7EeVfj7q1BR4Y1jx9YKvf6MGTOxfPlzmD17Ol5+4XkcKKjAhco6LP7yCgovvi5YHV7us3Chsk7w46+5LQILvzwOnZ6wdbwWbjIZvjpaArW+E4ZdDca/fEvwe6cr+Ma3GHeVqxCm88Fpryp8FFCIGpkBACAjYEtgAXQyAzqRG67BgGrvOtSV1OKPr/fDu7NcEPSiwydxtaQC+zb/C1cvFaKTXzA8vDthx9IPQYZK5IzOAqgCbu5+uHy5BICxY6ytXWcxpd2eG2z9+g2YN28+LlxYZzb1fz4qKmqwfPkqFBautbDUKiqmIihoFmSySxIBwAphsple3w1AjVO/c2Mn2Lii1IYUWVlLbCYGctwC6HRX6idYSZVpPorHH5uOznJPvPzMneiXpEH+b+ewMOtzDBvYA7v/eQSvvrcPUd274Kl5w/HTwTOYtWwnclb+Tdh29rKdmDY+GfMfHmT8e/knuFR+FX4+Xpi/KR/DEtX4v58uoevwWeikisK180dx+Yd34ebVCYqI/vCNuRmK6JtQ+dcPKPnpQwTFx+Nifj7+fONN6GtqIA8JQXByMs7v/RFH3/8AUfdPhm9EBCqOHwfVlSMkxPhs1NVFCiPrxo6yAwJUAAhdu46HweCDoCB/ZGXlWPy+5u+5VCBYqkMxGMpbzaXYIC5JIG0G2vICKOaVCU2LQzc2h1epTCS1OpY4jieei6KoMPElA/tGxwuTsipfTCeO4+i9qQNp8rAEiokII57nqHtYKEVEdKfuKp5ilBqLPPx3ZMNomXcqxSvDKE4ZRhMV8dQjREM9ld1ooiKe4pRhtMw7lbI9BlJEWHdKvnUQRcbF0Jj591OP2GjiQvva5E0HBEyTLN+bm7vdZg3Uhqo/arXJwlqrISFaUql4YcUrqXxsqfV8m7KyUVPmbTR238ZODDQvfSx1fzV8DA3op6Ufdi4gQ8EG4d8POxfQ0EEJFp+Z/vE8R0MGJZBGw1PP2B60atk9NvsOGTyQXnnlFYrrGUV8WA/qPX0dpT31pfCv9/R1FBaXYvFZ2lNfUq9xmaTp3oO6x2kpftQoCo2MJI7jKLRHD4odOpQGP5lJEX37EsfzFNGnD3EcR0synxQW2TFNojKuiJYiea/F15ZOoNBQ6X2c+U2cXey9peaUsAVQXMzYsenIzJwDLy8NiovfQGHhyUbl8Lq7F0EmAy5ffguFhSdRfOldXLkmh7t7kcV2Ol0/FFWWCn8/890pdFZ448ndJ/G/ijrMXXobstbcA75bEK7V1KJTgDdq5DIUeFyzOE6Yzgel7rW4q1yF/8kr4UPuuLtcjf/JK4WUzRC9Nx4t0KDqzyLU6Wpx6LO9qCojXLrwik3etLf3L5IuhLFj0xEYqLEYFhvdYPMl3WDl5edx7drNIFLAze0K9PooVFWNgcHQFQrFSxbXYrS4orF+/XM2rrPAwJmoqJhvew8dtLCakuVjL0tGioYCveYBwOzs9cjMnGPhmjS5D6urb7VxM3bpMgszpibgbGG5qF/+6KnLom2KCu+KrIUjceaXJaiorMH8hwfZ7Hvs+CnMmTMHEyZNAdVeQyeV5SimkyoKtWWFNsdWxNwMt05+8OsRgasFBYid/hD6v/IyYh95GNVFxme/99InkbZhPXqMuxedunbFji8+R+aTs1FQcA4bNz6NhITlCAqaj65dCZGRGaL3Wuy38PWV148iG/5tG3IDSyWD3H//Xc2eT99YmEunkTgbnBMbXvr6rjPzaZtyol9FQMAiVFffA7l8BxSK9fDwOAqDQYEnvz4JNzfCl+eq8PLrk5CUHIbfDpzG8oW50OnqsPqV8Raf7UEJehb4oqveCwBw2qsKwXVeCNP5oNjDmP1j+n/zSVpd9V6YeyYUz6j+QpRbAP6SiQ9R3dyuf27e1nPn5MjL24GsrCWYN28GamoUcHc/AyJfAFfQtet0AJXgOMvgub+/CnV1X6Kk5C0zt84CXL06Eb6+m6HTDbIZXosF5KuqPFFa2nCVTima6oe3rpzZEPaeJQA2gUGTKzAra6nFubKz16OgwLjymUxWCTc3fxgM5ch4ZCp2//MI8n87h4HJYcJ58387h6juXUTbNOfBNMxf8RnWrRiNyO5dRPcNDFAAAN79+xZ4+Abj2vmjkHM9hW2unT8KzwAOlcd/Rvlvu1BbVgjPAA7+SXfAL2EUSn/djtjpU+EfbSyc5h8djeipU3D8w/9Dl969UXH8OI5t+RDd7hyNqsLzmDtnKebMntOkGjZlZQUuc7fYSwZJSUlu1nz6xiIjsjM9rhU5d+4chg8fjm+//RYajabhHVoYjSYUBQUnAJgXjaoFz/fA+vUbLPy/I0ak4ZNPvkFp6Tno9WGoqJgPvV6NLl3Go6jopM0xVKpwGAwhcHe/YLF9YOBMyH3KsPHt+5Ey4HqGzf6fTuDZJ3dgxvzheOvVf+Lk8WLwmkBUVFyDrMqA2adCcc7rGrb7n8eIimD4Gtzxmd8F1MkI6eUqfOZ3AaOvhFhMxDrhdVX4fHPXclwsfguWvtC9CAx8BKWlb9SX5V1tk+0wYcJwbNnytZVffgGqqtLRtesOG8s3Lq5/fYzD8jz+/svg6XkMHBflkE/dOnvC1J6GLG0TKSnDcOhQlk07EhKWC7M0XYnUs8RxPSCT+aG4+A2btgQEzIG7exVkMlPHabQera87KGgm5jwUjdiILnjh1X/hxeW3C375mUt3YsUTw5F+a5xouz7I+zeeeWk33NzdUFVdi5CuvpDJgAuXKqHo7IWaGj1OnDwNnufRdfB0lP26A11umib48Iu/2wQyGCBzc0Pw0EeFzy999wb01Vcg8/RGjwn3IiT1ugAb9Hr8PHceIJNBrlJBc+tIgIC/PtiNyxdedur3FHsOunSZbjHxzHQ/m+u3bQ3sameLOJUaQWv78Bvrv7NeNUt8qbUEUioTSansJ7FsoWWdEaWyP8nl24XCUQVX3qSL1e8I/wquvEm8hqeU1DjatWcZFVx5k3btWUa9EqIpNJQnnucorHso9ekeSVMUCaSt99tHKUNtfPhvyobSMu9Uwc+fGB5NmUsybXyhISFJgg9fqmiXmC/TeH1aUqt5UqliLOIf9lZlasyC4I2tf9TcRbKskXqW1OpYu0tSWrdPq00W/x24aPph5wLa9uYjNKCflnieoz6JMZScFCP45PPeeYyG1vvshw5KoLx3HqNtbz5CCfFR9MPOBVRz+mX6YecCSukTS9vefISeX3ov8Vw0cZyGVOpoir3tEUqYtILC4lKI43nqFpNIfGg4dYtJtPDtJ0xaQd1iEonjjNtoekTT4MxMuicvl+7Jy6VbVmVTaGQk3bIqW/gsTJvaKJ+4q5aebG+4vHhaS9Cagu/ICy+1TUREL4eWFDQFe60fPqml8YKDhwqByl17llkI/q49yygmtofo51HR4cTzHEXHhNOIkcmUmBRD4eHdKD44jObKk2muvC9pld2IU3HUQ6UhTs1RuEpDPMfRoORUysvNFa7XuopocvJQYzE2iaCq9edia7Qqlf1JoVhlV7DU6tgWfyFdUTDPmUCsWHE0hWKV5PMjFpRWqaIkg9sx0eGk0fA0ZFACrVp2D/VP1lLeO4+RoWADTbwrjRJ7XRf2VcvuodgY43MzoN/17UzB2j6JMdQ9zCqIr0qk2NseoQHLPqPe09dRaERPir39EeJ4ngYs+8xM7BOo9/R117eL7kWhUbE0dttHdMuqbArv1Yv6jB9P3ePi6JZV2TR220cOFUcTw17xteYqhtgWYILvJI5WrRMTQXORk8u3k0oVVV+VcKjZ2q7XH1brY3Cc/bVHY2ITKDlFa2HJ9+nbk3iek7T8eyVG0zf7VtCm92bQsBF9qXffnhQVFkb3K3pRL2UYhal4ClVzdNftd9J3331Her3eofvUUFleawu/ocqYYmsKW1eFbC9IGQRS6yPbPgfG50iskwwJSSQ/vyVmFS+Hkly+jTiOF72/fRL70Mhhvalf31gLC95QsIGenDuaYqLDhQyevHceo/7JWgur3tQ55L71GPVN6ksqlXgmmZqLJY7njVY+ZxT6sLgUwcI3/3/Tv9jbHiGV2lgmWc3HUszgwZSQlka9kpIouX9/4jUa0mh6uszC7wgVWJngO0lj61KbL0ItZc2aXDNSD510+mYahYQk0lsfzKKk3jEUE9PDWEq2p7GkbExsD3pq5UQbC/+mwUn0+uYZNGhwEp2/+hZdqHqbNr03g3pqIyiiexgldIuigcmpdOzYMaENjlqmprZaX6tCsUpINVWrY0mhWCV0Wg3Vvm/OUtQtiT03jSPuBOva9Uplav1i3GmkVGpt0hGVyhSKiOhl08lwXG+6e/QAitca3SjJvftS7ltGsc996zHiOKPY9k0yfj50UIJo+qa5VS/1O3KcRhByk7ibW/Xm1n7aU19Swn0rSMWn2LR35crnLIyOxrrYjHXwI+qNLp5CQnqRShVBHNe+n62GYILvJI21DHheU58bLG31KpVpdh9WsYc7JCSRtNpkCu8RTu9vm0ep/eMppZ/WxmefkBhNT62cKPydkhpH7/1jLl2oepuG3dKXdnyVKXQGr737OEXH9KCXX3650S+XecdoqrGuUvGitc5VKqPP3p6FfyNZXvbiEY48V1I55FptqqSFrdWm2nSY998/hdRqS7dhqKYPRfSIsvmduof1JY7jqeb0yxaCX3P6ZVKpogQXk6njuT5irR/Rde9t5as3Cn30sEmk5oxrMfDhfSnhvhWU9tSXpInsb3Edxo4tTXRei7OGQG7udgoNTRDtGOXybTek794EE3wnuf6wGCcBGReGSBAdfmu1qaTVJtcvMKElhWIVyeW2k47M/YeOWCY8fz2wqVYbX4BbbhlBI0Ym04iRydS33q1jbdHH9owgjYanmwYn0Xv/mCt89/rmGTTx/mHC3xeq3qabhyTRHXeMsji3+eQnkxtKSpTEOkapjs5k6dvz4d9IL5+U0RAcPMThkaOYyIlNaDM/zvVJgbzwDImJs0ol7iYJ1cSIWvjGSXDWv9118QwL60c9ImMoccKTNGD5F4Loc3yYzaIsKq4v9Zr4FKk5S/en1CS+xt5/qWfRGA+7cd07Lhf8ffv20YMPPtjgdoWFhTRu3DgaN24cffDBB06do/UF39IyCA1NEV44a8vL/MEPCTEF24Y0apQgfnyjKHbrlkKhoaEUHWMMwIn57DUa3uIz078jBRsoJraHxWevvfs4xcREWJxbPENom6goibVVuqPTWAiR+X/NxexGcOcQ2Q/ENsWnbE/ITDEQqY7VPIZkL9BuHsD9YecCitdG1i9HaBmLMl7T9WUKZ8yYRalpg0ibPIh6jXuSUhdtI5VafFSnUkVZ+OYbmoXtLDyvacCF6Jibtj3iUsH/+uuv6YEHHqDJkyc3uO2DDz5I33//PRkMBpoyZQoVFBQ4fJ626tKRttyuWw1SGTiOWCz2jn/9RTFa8GIW/k2Dk0QF/50P51BkVHcL6/9IwQYK6x4qnFvKulcq0yRfPGuR1kqk0Gm1qXbFvKVTIVuC5lgf+brb0NIgCQlJELKc7AXHTf8fEiI+/Z/jounWW0dSr/iY+nId3UglkSZsHn8xGTuLF2fSd999R+MmTqaw7hF2Oxbz+yElzo0VZGbhu0jwz549S2fPnm1Q8Ovq6mjAgAHC32+88QZt377dqfO0xaBtw75Z6QwcR15s+8c3vijRMeH06juPUXyvKErtH08aDU+p/eMpvleUhRvnvX/MpZsGJxHP85SQGG3h709JjaM5GXeRShVV75pKlrTu1Wr7bihLF1ey6OgoNDTBrtB1lIyKhp4JR+Z/BARMswhGKpV9SKWKFTK87Fm2phGpn99Sh1woDRkgJvE0N3bM95VeWD2K1OpYGjduIiUnD5WMSzT292c+/EYI/tNPP02TJ0+2+Hf58mWHBL+iooLS09OFv7du3UqbNm1ySaObm6Za+PYeUkcndJkvNG3MzEiuf0h70YiRyTRr/hjq07enTXqmSfDf+8dcIag7SGQ0sDzrPlKprgu8vSCzVptq93qs4x08H0NabaqZ1S+eX29+nxqbGXUj4cgoZ8mSpaIds0KxSkiDlbLwVaoo4rhYCgkxZgr5+S0hlaqn4JIRS3+1Z4BYuomuW+7m+5qSGKREV6VKknSVNlWQTQu7G6+bp8jI3kK8rb27DO3hch++oxb+7bffLvz99ttv0+uvv+7UORoj+K6aMCP18DXkw3c2A0dsQpe4ZdKXQkMTKCtrJaX2T6SIiO4UF9+beF5Dvfum0Oatcy1cOuYuHzF/f+8+liJsb0anvXtodAPZWlFabbKwjSNi3hIWfluPEThyD+wFgzmOF/XhG2eXxgoBXD+/JaRUJtoEU52x8FWqaNF4BMfF2ux73XgRDyCb3H3OVJ9tiLb+WzcnrSL4REQTJ06kwsJCIiJ64okn6LPPPnPqHM4KviutBHsPjFSWjvkMVLH9HBU1e35wvV5PSUm2L2toaBzF9kwktZqn3n2NE19MIi/m77eevShlFdqz7olIciiuUkU5dd3N7cNvDzECex2j6ZlTq3kKDh4iYllff95MVq0xyyvcYiRnGhGYRowNPYtS923cuIkiI40U4jitZHliZ8pENFXs2/pv3Zw0u+CfP3+eFi5caLPd7t27aezYsZSVlUUjR46kyspKlzRaita2Eht60BqydM1fanvbJSUNsrhOY0qbpZWtUifS8qz7bNw7JvcPz1tmT/j52boKQkLEZ7ma3wN76aeO3hdH7m1TEXs2TG6Q1rYCzVMpxS3gZNHMLfNsGVP5Cet7bc+H7kjasLVbxJTrT0QUFtZTNMhvbiRcvzaN5DyMpqxdIEZHiQdJ0ap5+MeOHaOdO3dSWVmZU/s1RvCb2w/ckHA19KDZ+9782A2ldFpfp8k6t/b7c1wPQeSfWjmRwnuECS+uWh1NGk28hTBcn1hjfIEVilWSFp8p9dTeMN16v9YcYlvfM1fnfTcWR1yEUiM+03MSEpJIERFxwj121FUnJb723Jfm90iqxo15Z2+OceardSHBRJLLt7n0ne3o8aAOM/GquXv2ho7viAUv9QLZTqW3nmWZItmxqNXiwbGQkARKSDLWT0lIiiWO721zTJM7yvrlNXYeQ4RJX+bnFs/zvi5S5m1tK1jfM1fnfbuqXeYWuOm+SwdOTZ3t9c7BuhaTdPG1PjZVXK1LfzRkoEjn5kdJXq9tGq9jriVX3FNm4d9ggt/cvruGBN1RX7WYpStmgZpb0NYzfa2H7dIzXKOI53niuGiHRx/2rF+e10iOQMxFqq3hqD+5pa3ApgS0VaooG7HlOMtqq2LuPlOpDqPFLV3cz9Q285Gj6ZmUmhxoHbBviObKzrEtS5HSITJ0iDqQ4BO1vB/YXDSb8vA6m+5pGTjua3eGq16vd2r0Yc+lZIwxuFYsW8rdY36e1l531ERjA9rmIyqTZS6Xb6OQkFgbgef5eIs0WUcTCbTaVNHRXEhIomiGjkrV08IwsYf13A2p9jUW68SKhuaB3Eh0KMFvTsRePJUqySXlAcyPbXTPpNVb96nCrEZ7girl55WKH4gVqnIkaJybu12yZn9jxLK1MiraSiaHswFtqcBucLBlpVbzWI49i1vq/EuWLKXQ0ARSqaTWZ7CtCeRInShnrtlVOFMf6kaACb4LMc86MC/966qhqHHGq6U1YhouNzShy95LZNuhpEhu25DVKRZ8a+y1t2ZmVWsHks3bp9Wm1pfjiCKtNlmyLfYmQjWU3WXv/Nb3wfS7NFyPxvnfrCV97Lm5ztWHuhFggt8MNNdDK3VcR1Z9aihl9LqoiE+accY1JXauxghoa2dWtQWcaaPU88Hz2gZHec5g+l2kZ+06Vtff3rFbIn4idb/s1Ydq7zDBbwaa66GVXpat8ccV9wHbTos3b7uz4t1YYW3tzKq2gDNttHefXdm5mdoktZCPsSxDVKN88C35m9jLcGpLnb4rYYLfDDiSTufK4zZHmpp14avWSIVr7cyqtoCzbWxoJOdIR229nfUMcfNKlmIxJdNvay8GYK+NLTXqknouG5pB3p5hgt8MODJhpjEPcFNeBkdTPi39sNfT1hp6Se0JSVOEtTUzq9oCLd1GsWfMtI6DmGjbi1fZc0GaH986LdLes9bc19rWXHquhgl+M9FQ5kRjX1hHBFDMQnNkUpflaKSnRYVL67LGzrgK2qqwtocXvqXb2JgRX+OMCVu/eWv8Bm0lON9SMMFvZlrabSCVHioViJUejVzvoKQmbply7xsS87YsrO3hhW/JNjom0o49v9Kdh23apvnx24IxcKPCBL+ZkfYTJjfLS+zMSya2GItKFWVTv8TeZCpHO7T2IKw3Is7ed1fEdExZX2q17aL1UsaH+fHbWhzlRoIJfjMjZt2GhiZIukiaijPDaLGXVuyFb6qFz2gdGjOyEvfhJ5JSmSi4+OzNmM3NtVzz2bzevlabKupetB5Rsuen+WCC3wJYW1muzIm2xtFAmdSL72wH5Qp3DbP+m4emZEeZfg9jSmW81fMgXQDPkdx26+N3pNIGrQ0T/FagOf36jUmFEzuGMxOnmiLYbdm/395xxXPmbKdhb4TZmFRShmtxueDv27ePHnzwwQa3y8vLo1GjRgnr4Z45c8bhc7R3wW9uN0h7eoGYS6j5cMW9dbbT6IizV9sTLhX8r7/+mh544AGHljh88skn6b///a+zpyCi9i/4zKq9TnuY/GSiPXWkRK55zpztNKx9+CYfvaOVMhnNi0sF/+zZsw6vaTty5EiaPHky3XXXXZSVleX0edqz4BO1P/FoLtqLhd9eO+mmPmeNDfw6WvCN0bI0WvCffvppwR1j+nf58mWHBN9gMNCuXbvIYDCQwWCgKVOm0C+//OKSRjOaF1d3VO1FSNtLx9QcMOPkxsGednrADitWrBD9vKqqyt5uAACZTIZhw4ZBJpMBAGJiYnDs2DH069evwX0ZrUde3g5kZKxGYeEa6HT9UFycj4yMBQCAsWPTG3VM037Z2ctRVHQUanUUMjMXN/p4zUVR0VHodJbPp07XD0VFR1upRS3H2LHpbe73YLget+Y68Llz5zB9+nTo9XpcvXoVP/74I+Lj45vrdAwXkZ29vl7sBwLwhE43EIWFa5Cdvb5Jxx07Nh379+/BuXNnsX//njYpLmp1FLy88i0+8/LKh1od1UotYjBci0sE/8KFC1i0aJHFZxqNBjfffDNuv/12TJw4ERMnTkRCQoIrTsdoRjqylZuZOQcctwBeXnsB1MLLay84bgEyM+e0dtMYDNfQCi4mh2A+/Naho6eTtvX23Qiwe9y8sIlXDIdpzgBrewneMpoP9gw0P0zwGU7RXBZYR86CYRhhz0Dz0+gsHUbHpLkyNjpyfIBhhD0DrUuzZekwGNawLBgGewZaFyb47YS8vB1ISRkGjSYUKSnDkJe3o7Wb5DQsC4bBnoHWhbl02gHNMRmqNWgvE7AYzQd7BloXGRFRazdCjHPnzmH48OH49ttvodFoWrs5rUpKyjAcOpRVPxnKiJfXXiQkLMf+/XtasWUMBqOtYU87mUunHcACXQwGwxUwwW8HOBLouhF8/AwGo3lhgt8OaCjQZfLxHzqUhYKCEzh0KAsZGauZ6DMYDAtY0LYd0FCgy7LgGcwKni1nwTAGgyHABL+dYG8yFPPxMxgMR2AunRsANpmFwWA4AhP8GwA2mYXBYDgCc+ncALDJLAwGwxGY4N8gsCXqGAxGQzCXDoPBYHQQnLbwP//8c7z77rvw9PSEVqvF0qVLhYXKrSkqKsK8efMAAGPGjMGkSZOa1FgGg8FgNB6nLPyamhp89tln+OCDD/Dhhx/i119/xZ9//im5/bJlyzBjxgxs3boVu3fvRmFhYZMbzGAwGIzG4ZTge3t749VXX4W3tzfq6upQUVGBLl26iG6r1+vxv//9D4MHD4ZMJsPAgQORn58vui2DwWAwmh+7Lp0VK1bg+PHjFp+98sorCAoKwttvv42hQ4dCqVSK7ltdXY2QkBDhbz8/P1y8eNHhhun1egDA+fPnHd6HwWAwOjomzTRpqDkNCr4YP/zwA3744Qe88847kvvK5XLodDrh76tXr8KZSszFxcUAwPz+DAaD0QiKi4sRFhZm8ZnTQdtff/0VL7/8Mt566y14eXlJbufu7g5/f38UFRVBrVbj8OHDGDZsmMPniY+Px5YtWxAcHAx3d3dnm8lgMBgdEr1ej+LiYsTHx9t85/QCKDfddBN8fHwQFBQEAJgzZw569OiBtWvX4oUXXrDY9ptvvsFrr72G3r1744cffkBeXh46d+7chEthMBgMRmNp9hWvjh8/jsOHD2Pw4MHw9/dvzlMxGAwGww5tdolDBoPBYLgWNtOWwWAwOghM8BkMBqODwASfwWAwOghM8BkMBqODwASfwWAwOghM8B3k888/x7333ov77rsPK1eudGrWcEfip59+wkMPPdTazWC0c2pra/Hwww/jl19+ae2mtDkqKyvx2GOP4cEHH8Tdd9+N//3vfw7vywTfAZytEtpR2b17N15//XWLkhoMS9544w3cddddeOihh3Dp0qXWbk6bpK6uDjNmzEBRUVFrN6VNsnPnTowZMwbvvPMOZs6ciQ0bNji8LxN8B3CmSmhHpmfPnnjuuedauxltll9//RV79uzBxx9/jOnTp+OVV15p7Sa1WbKyskRLAzCM9cVuv/12AMDly5clC1iKwZY4FKEpVUI7ClL3qKqqqpVa1PbZu3cvRo8eDXd3d/Tv3x/PP/98azepTeLh4QGVStXazWjzlJSU4N1338Vbb73l8D5M8EVoSpXQjoLUPWKCL83Vq1eh1WoBADKZjN0rRqOpra1FRkYGMjIywHGcw/sxwXcQR6uEMhhSKBQKVFdXC39XVla2YmsY7RW9Xo+MjAwMHz4cw4cPd2pf5sN3kLlz56KyshIzZszAxIkT8dNPP7V2kxjtjKSkJPz8888AgFOnTiEwMLCVW8Roj+Tm5uL777/Hrl27MHHiRGRkZDi8LyuexmC0EHq9HpMmTUJ8fDwOHjyIe+65hy3ww2hRmOAzGC2ITqfDnj17EBwcjL59+7Z2cxgdDCb4DAaD0UFgPnwGg8HoIDDBZzAYjA4CE3wGg8HoIDDBZzAYjA4CE3wGg8HoIPw/PinI3sCWXkAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dbscan(0.1, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "估计的簇的数量: 1\n",
      "估计的噪声点数量: 2\n",
      "同一性(Homogeneity): 0.0010\n",
      "完整性(Completeness): 0.0586\n",
      "V-measure: 0.002\n",
      "ARI(Adjusted Rand Index): -0.0000\n",
      "AMI(Adjusted Mutual Information): -0.0011\n",
      "轮廓系数(Silhouette Coefficient): 0.0611\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dbscan(0.4, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "估计的簇的数量: 2\n",
      "估计的噪声点数量: 13\n",
      "同一性(Homogeneity): 0.5365\n",
      "完整性(Completeness): 0.8263\n",
      "V-measure: 0.651\n",
      "ARI(Adjusted Rand Index): 0.5414\n",
      "AMI(Adjusted Mutual Information): 0.6495\n",
      "轮廓系数(Silhouette Coefficient): 0.3845\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dbscan(0.3, 6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，当扫描半径 (eps)为0.3，同时最小包含点数(minPts)为10的时候，评价指标最高。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 层次聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号\n",
    "from scipy.cluster.hierarchy import dendrogram\n",
    "from sklearn.datasets import load_iris\n",
    "from sklearn.cluster import AgglomerativeClustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_dendrogram(model, **kwargs):\n",
    "    # 创建链接矩阵，然后绘制树状图\n",
    "\n",
    "    # 创建每个节点下的样本计数\n",
    "    counts = np.zeros(model.children_.shape[0])\n",
    "    n_samples = len(model.labels_)\n",
    "    for i, merge in enumerate(model.children_):\n",
    "        current_count = 0\n",
    "        for child_idx in merge:\n",
    "            if child_idx < n_samples:\n",
    "                current_count += 1  # leaf node\n",
    "            else:\n",
    "                current_count += counts[child_idx - n_samples]\n",
    "        counts[i] = current_count\n",
    "\n",
    "    linkage_matrix = np.column_stack(\n",
    "        [model.children_, model.distances_, counts]\n",
    "    ).astype(float)\n",
    "\n",
    "    # 绘制相应的树状图\n",
    "    dendrogram(linkage_matrix, **kwargs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = load_iris()\n",
    "X = iris.data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 设置距离阈值=0可确保计算完整的树。\n",
    "model = AgglomerativeClustering(distance_threshold=0, n_clusters=None)\n",
    "\n",
    "model = model.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"层次聚类树状图\")\n",
    "# 绘制树状图的前三级\n",
    "plot_dendrogram(model, truncate_mode=\"level\", p=3)\n",
    "plt.xlabel(\"节点中的点数（如果没有括号，则为点索引）\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 参考\n",
    "- Andrew Ng. Machine Learning[EB/OL]. StanfordUniversity,2014.https://www.coursera.org/course/ml\n",
    "- https://scikit-learn.org/stable/modules/generated/sklearn.cluster.DBSCAN.html\n",
    "- https://scikit-learn.org/stable/auto_examples/cluster"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
